diff --git a/README.md b/README.md
index d5e5a95771504fcd42acfe1deb7eac4b5845305e..c2357d2d153943b494a78adf95cb1af256c2d769 100644
--- a/README.md
+++ b/README.md
@@ -10,7 +10,7 @@ data:
 
     - all_other_data:
             -> gml_data:    gml version of data in 'data_wang_jbc2020/tree_result_Mutiroot'
-            -> rest:        auxiliary data for evaluation of tree meátching measure
+            -> rest:        auxiliary data for evaluation of tree matching measure
 
     - final_results_data:
             -> data:
diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_0/0.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_0/0.gml
new file mode 100644
index 0000000000000000000000000000000000000000..93151a066a3ff7402a0a3635868b382ecb33291f
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_0/0.gml
@@ -0,0 +1,7998 @@
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diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_1/1.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_1/1.gml
new file mode 100644
index 0000000000000000000000000000000000000000..61b289b0d94ee3ee020be9bf9928fedacdd29aae
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diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_2/2.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_2/2.gml
new file mode 100644
index 0000000000000000000000000000000000000000..b791e92ea77d9d17886f12fada3d339d0eab9184
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_3/3.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_3/3.gml
new file mode 100644
index 0000000000000000000000000000000000000000..6477c1f9bddef867675372c035b150d1c2877d99
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diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_4/4.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_4/4.gml
new file mode 100644
index 0000000000000000000000000000000000000000..697f9fbefc48058700a127522de00be337cb5798
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diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_5/5.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_5/5.gml
new file mode 100644
index 0000000000000000000000000000000000000000..0d6c053eabebd484069074693907f7825ccb58b2
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_6/6.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_6/6.gml
new file mode 100644
index 0000000000000000000000000000000000000000..7fc6f772ce9abf9cb14adecf0dc13f3a10f468b4
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diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_7/7.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_7/7.gml
new file mode 100644
index 0000000000000000000000000000000000000000..ee0327cd3123922d63bb046a030b671d982e86f0
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diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_8/8.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_8/8.gml
new file mode 100644
index 0000000000000000000000000000000000000000..06e03d561a6dae4509317965d6f2b4d5c798cb31
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_9/9.gml b/all_other_data/scalability_trees/max_n_1000_trees/max_n_1000_9/9.gml
new file mode 100644
index 0000000000000000000000000000000000000000..b467474ec9188c7599e9baacac5f61eedbf4fa54
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_100_trees/max_n_100_2/2.gml b/all_other_data/scalability_trees/max_n_100_trees/max_n_100_2/2.gml
new file mode 100644
index 0000000000000000000000000000000000000000..e226d796aee169ffbc1e72c6c8114af7c0e21deb
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diff --git a/all_other_data/scalability_trees/max_n_100_trees/max_n_100_5/5.gml b/all_other_data/scalability_trees/max_n_100_trees/max_n_100_5/5.gml
new file mode 100644
index 0000000000000000000000000000000000000000..7a3d239a17c1e06423dea629df857d5ae068280f
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_100_trees/max_n_100_5/5.gml
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diff --git "a/all_other_data/scalability_trees/max_n_10_trees_resultsMar_08_2022\n/report.txt" "b/all_other_data/scalability_trees/max_n_10_trees_resultsMar_08_2022\n/report.txt"
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+Report for Mar_08_2022
+inpath: /home/jana/Documents/BIONETs/Code/tree_match_approx_validator/all_other_data/scalability_trees/max_n_10_trees
+outpath: /home/jana/Documents/BIONETs/Code/tree_match_approx_validator/all_other_data/scalability_trees/max_n_10_trees_resultsMar_08_2022
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diff --git a/all_other_data/scalability_trees/max_n_200_trees/max_n_200_1/1.gml b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_1/1.gml
new file mode 100644
index 0000000000000000000000000000000000000000..63678b0ea6fbeb14b9fc84bb22b4a003c9e4d3fd
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_1/1.gml
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diff --git a/all_other_data/scalability_trees/max_n_200_trees/max_n_200_2/2.gml b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_2/2.gml
new file mode 100644
index 0000000000000000000000000000000000000000..0e97c4e39ed7afdfebce0953c2bff24a1140e068
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_2/2.gml
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diff --git a/all_other_data/scalability_trees/max_n_200_trees/max_n_200_3/3.gml b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_3/3.gml
new file mode 100644
index 0000000000000000000000000000000000000000..a222efd853d14edb6559969798d5a522b3aea009
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_3/3.gml
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diff --git a/all_other_data/scalability_trees/max_n_200_trees/max_n_200_4/4.gml b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_4/4.gml
new file mode 100644
index 0000000000000000000000000000000000000000..50f6f9c04a44a798752bce2db75de6dca07e5a4a
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diff --git a/all_other_data/scalability_trees/max_n_200_trees/max_n_200_5/5.gml b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_5/5.gml
new file mode 100644
index 0000000000000000000000000000000000000000..198efd71c173e557097dd22495a35567d74a27db
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_200_trees/max_n_200_6/6.gml b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_6/6.gml
new file mode 100644
index 0000000000000000000000000000000000000000..cc9868c7cd4057fa7eb37374a5f81e7ffa817dbb
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_6/6.gml
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diff --git a/all_other_data/scalability_trees/max_n_200_trees/max_n_200_7/7.gml b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_7/7.gml
new file mode 100644
index 0000000000000000000000000000000000000000..91eed928b0778a66157d57c70e6f4b56ca240ed2
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_7/7.gml
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diff --git a/all_other_data/scalability_trees/max_n_200_trees/max_n_200_8/8.gml b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_8/8.gml
new file mode 100644
index 0000000000000000000000000000000000000000..b3e29dcf5f8bec34e2e7fb84201aca4f5e44b7f8
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_8/8.gml
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diff --git a/all_other_data/scalability_trees/max_n_200_trees/max_n_200_9/9.gml b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_9/9.gml
new file mode 100644
index 0000000000000000000000000000000000000000..d49afb51267d0e196d42bfa1adb967f1de193e18
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_200_trees/max_n_200_9/9.gml
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_0/0.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_0/0.gml
new file mode 100644
index 0000000000000000000000000000000000000000..41320e4f597310f2c6ea9b67fc2130741b984162
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_0/0.gml
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_1/1.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_1/1.gml
new file mode 100644
index 0000000000000000000000000000000000000000..193a43976cdf6af4efb7808e1bf1c10a078a425d
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_2/2.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_2/2.gml
new file mode 100644
index 0000000000000000000000000000000000000000..e5ec2b5cf1bd4fe8383900370c4bef9607b638a1
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_3/3.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_3/3.gml
new file mode 100644
index 0000000000000000000000000000000000000000..a8cec22428fd5f15eef0dbb7488014e6007a39ad
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_4/4.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_4/4.gml
new file mode 100644
index 0000000000000000000000000000000000000000..7f2830b7c4c5dd6c3ac12a6d56160b15cfcd479c
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_5/5.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_5/5.gml
new file mode 100644
index 0000000000000000000000000000000000000000..fbc21ab53415ee76e6cc01c57856dbf894ab7a51
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_5/5.gml
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_6/6.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_6/6.gml
new file mode 100644
index 0000000000000000000000000000000000000000..8d52483846a143390d0f2988d02d6d5e20fc3151
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_7/7.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_7/7.gml
new file mode 100644
index 0000000000000000000000000000000000000000..ed550ae6cb39024fe668c3b7c5fc71330c089398
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_8/8.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_8/8.gml
new file mode 100644
index 0000000000000000000000000000000000000000..b042aae0526c7c53bf19942d08bba22e0f81e791
--- /dev/null
+++ b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_8/8.gml
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diff --git a/all_other_data/scalability_trees/max_n_500_trees/max_n_500_9/9.gml b/all_other_data/scalability_trees/max_n_500_trees/max_n_500_9/9.gml
new file mode 100644
index 0000000000000000000000000000000000000000..cde8cc42696c36a8ba0b20a5c5235fb5efe894d9
--- /dev/null
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diff --git a/all_other_data/scalability_trees/max_n_50_trees/max_n_50_0/0.gml b/all_other_data/scalability_trees/max_n_50_trees/max_n_50_0/0.gml
new file mode 100644
index 0000000000000000000000000000000000000000..3fd4bfc45863196483a315088e71d748ec49ea85
--- /dev/null
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new file mode 100644
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diff --git a/notebooks_python/__pycache__/compute_distances.cpython-38.pyc b/notebooks_python/__pycache__/compute_distances.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..15308664d4d512ecf3637888ce042fe0302eea20
Binary files /dev/null and b/notebooks_python/__pycache__/compute_distances.cpython-38.pyc differ
diff --git a/notebooks_python/__pycache__/import_trees.cpython-38.pyc b/notebooks_python/__pycache__/import_trees.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..71345bb6bded4948786255599fb179e937fa373b
Binary files /dev/null and b/notebooks_python/__pycache__/import_trees.cpython-38.pyc differ
diff --git a/notebooks_python/comparison_matrices_eval.ipynb b/notebooks_python/comparison_matrices_eval.ipynb
index 9eadf2fcbcc8c30e8518ddfccc63bc76a093d486..09077ae8c7e734f25f30b39a8c63a49075b331f2 100644
--- a/notebooks_python/comparison_matrices_eval.ipynb
+++ b/notebooks_python/comparison_matrices_eval.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 69,
+   "execution_count": 78,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -11,7 +11,8 @@
     "import pandas as pd\n",
     "import numpy as np\n",
     "import matplotlib.pyplot as plt\n",
-    "import networkx as nx"
+    "import networkx as nx\n",
+    "import os"
    ]
   },
   {
@@ -455,7 +456,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 134,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -467,7 +468,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 146,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -479,7 +480,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 142,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -514,6 +515,580 @@
     "    random_pruefer_tree_array = np.array(helper_list, dtype=object)\n",
     "    return random_pruefer_tree_array"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 55,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "max_n = 10\n",
+    "prufer = get_pruefer(max_n=max_n)\n",
+    "tree = get_pruefer_tree(prufer)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 56,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'/home/jana/Documents/BIONETs/Code/tree_match_approx_validator/all_other_data/scalability_trees/max_n_10_trees/'"
+      ]
+     },
+     "execution_count": 56,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "path = \"/home/jana/Documents/BIONETs/Code/tree_match_approx_validator/all_other_data/scalability_trees/max_n_\" + str(max_n) + \"_trees/\"\n",
+    "path"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 53,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "nx.write_gml(tree, path)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 77,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "max_n = 1000\n",
+    "tree_count = 10\n",
+    "path = \"/home/jana/Documents/BIONETs/Code/tree_match_approx_validator/all_other_data/scalability_trees/max_n_\" + str(max_n) + \"_trees/\"\n",
+    "\n",
+    "for i in range(tree_count):\n",
+    "    os.mkdir(path + '/max_n_' + str(max_n) +'_'+ str(i))\n",
+    "    tree_path = path + '/max_n_' + str(max_n) +'_'+ str(i) + '/' + str(i) + \".gml\"\n",
+    "    prufer = get_pruefer(max_n=max_n)\n",
+    "    tree = get_pruefer_tree(prufer)\n",
+    "    nx.write_gml(tree, tree_path)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 64,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 68,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['4.gml',\n",
+       " '7.gml',\n",
+       " '6.gml',\n",
+       " '2.gml',\n",
+       " '8.gml',\n",
+       " '3.gml',\n",
+       " '1.gml',\n",
+       " '5.gml',\n",
+       " '9.gml',\n",
+       " '0.gml']"
+      ]
+     },
+     "execution_count": 68,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "path = \"/home/jana/Documents/BIONETs/Code/tree_match_approx_validator/all_other_data/scalability_trees/max_n_\" + \"100\" + \"_trees/\"\n",
+    "os.listdir(path)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 80,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "dire:  max_n_1000_4\n",
+      "file:  4.gml\n",
+      "dire:  max_n_1000_5\n",
+      "file:  5.gml\n",
+      "dire:  max_n_1000_0\n",
+      "file:  0.gml\n",
+      "dire:  max_n_1000_6\n",
+      "file:  6.gml\n",
+      "dire:  max_n_1000_8\n",
+      "file:  8.gml\n",
+      "dire:  max_n_1000_2\n",
+      "file:  2.gml\n",
+      "dire:  max_n_1000_1\n",
+      "file:  1.gml\n",
+      "dire:  max_n_1000_7\n",
+      "file:  7.gml\n",
+      "dire:  max_n_1000_9\n",
+      "file:  9.gml\n",
+      "dire:  max_n_1000_3\n",
+      "file:  3.gml\n"
+     ]
+    }
+   ],
+   "source": [
+    "graph_coll=[]\n",
+    "listdir=os.listdir(path)\n",
+    "for dire in listdir:\n",
+    "    print('dire: ', dire)\n",
+    "    graph_coll.append([])\n",
+    "    graphdir=os.listdir(path+'/'+dire)\n",
+    "    for graph_file in graphdir:\n",
+    "        print('file: ', graph_file)\n",
+    "        graph_coll[-1].append(nx.readwrite.gml.read_gml(path+'/'+dire+'/'+graph_file,label='id'))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 96,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "df_approx = pd.read_csv (r'/home/jana/Documents/BIONETs/Code/tree_match_approx_validator/final_results_data/data/normalized_approx.csv', index_col=0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 97,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>PKB4</th>\n",
+       "      <th>PKB6</th>\n",
+       "      <th>PKB7</th>\n",
+       "      <th>PKB8</th>\n",
+       "      <th>PKB9</th>\n",
+       "      <th>PKB10</th>\n",
+       "      <th>PKB11</th>\n",
+       "      <th>PKB13</th>\n",
+       "      <th>PKB14</th>\n",
+       "      <th>PKB15</th>\n",
+       "      <th>...</th>\n",
+       "      <th>PKB206</th>\n",
+       "      <th>PKB207</th>\n",
+       "      <th>PKB218</th>\n",
+       "      <th>PKB233</th>\n",
+       "      <th>PKB236</th>\n",
+       "      <th>PKB240</th>\n",
+       "      <th>PKB241</th>\n",
+       "      <th>PKB242</th>\n",
+       "      <th>PKB247</th>\n",
+       "      <th>PKB248</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>PKB4</th>\n",
+       "      <td>0.688525</td>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.004569</td>\n",
+       "      <td>0.004031</td>\n",
+       "      <td>0.004569</td>\n",
+       "      <td>0.004569</td>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.004569</td>\n",
+       "      <td>0.005644</td>\n",
+       "      <td>0.002898</td>\n",
+       "      <td>0.003086</td>\n",
+       "      <td>0.001016</td>\n",
+       "      <td>0.005644</td>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.003762</td>\n",
+       "      <td>0.002956</td>\n",
+       "      <td>0.002768</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>PKB6</th>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.764706</td>\n",
+       "      <td>0.009227</td>\n",
+       "      <td>0.007689</td>\n",
+       "      <td>0.014994</td>\n",
+       "      <td>0.008074</td>\n",
+       "      <td>0.009612</td>\n",
+       "      <td>0.013072</td>\n",
+       "      <td>0.008074</td>\n",
+       "      <td>0.007689</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.005421</td>\n",
+       "      <td>0.004309</td>\n",
+       "      <td>0.002294</td>\n",
+       "      <td>0.002346</td>\n",
+       "      <td>0.000898</td>\n",
+       "      <td>0.006151</td>\n",
+       "      <td>0.005767</td>\n",
+       "      <td>0.006536</td>\n",
+       "      <td>0.004614</td>\n",
+       "      <td>0.003045</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>PKB7</th>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.009227</td>\n",
+       "      <td>0.882353</td>\n",
+       "      <td>0.008843</td>\n",
+       "      <td>0.009227</td>\n",
+       "      <td>0.007305</td>\n",
+       "      <td>0.008843</td>\n",
+       "      <td>0.011534</td>\n",
+       "      <td>0.008458</td>\n",
+       "      <td>0.009612</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.004783</td>\n",
+       "      <td>0.004309</td>\n",
+       "      <td>0.002415</td>\n",
+       "      <td>0.002469</td>\n",
+       "      <td>0.000859</td>\n",
+       "      <td>0.005767</td>\n",
+       "      <td>0.004998</td>\n",
+       "      <td>0.005767</td>\n",
+       "      <td>0.004998</td>\n",
+       "      <td>0.002768</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>PKB8</th>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.007689</td>\n",
+       "      <td>0.008843</td>\n",
+       "      <td>0.755102</td>\n",
+       "      <td>0.007689</td>\n",
+       "      <td>0.010829</td>\n",
+       "      <td>0.007305</td>\n",
+       "      <td>0.007689</td>\n",
+       "      <td>0.010412</td>\n",
+       "      <td>0.011600</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.004783</td>\n",
+       "      <td>0.005232</td>\n",
+       "      <td>0.002415</td>\n",
+       "      <td>0.002593</td>\n",
+       "      <td>0.000898</td>\n",
+       "      <td>0.006247</td>\n",
+       "      <td>0.005831</td>\n",
+       "      <td>0.006664</td>\n",
+       "      <td>0.004998</td>\n",
+       "      <td>0.002630</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>PKB9</th>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.014994</td>\n",
+       "      <td>0.009227</td>\n",
+       "      <td>0.007689</td>\n",
+       "      <td>0.764706</td>\n",
+       "      <td>0.008074</td>\n",
+       "      <td>0.009612</td>\n",
+       "      <td>0.013072</td>\n",
+       "      <td>0.008074</td>\n",
+       "      <td>0.007689</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.005421</td>\n",
+       "      <td>0.004309</td>\n",
+       "      <td>0.002294</td>\n",
+       "      <td>0.002346</td>\n",
+       "      <td>0.000898</td>\n",
+       "      <td>0.006151</td>\n",
+       "      <td>0.005767</td>\n",
+       "      <td>0.006536</td>\n",
+       "      <td>0.004614</td>\n",
+       "      <td>0.003045</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>PKB240</th>\n",
+       "      <td>0.005644</td>\n",
+       "      <td>0.006151</td>\n",
+       "      <td>0.005767</td>\n",
+       "      <td>0.006247</td>\n",
+       "      <td>0.006151</td>\n",
+       "      <td>0.005414</td>\n",
+       "      <td>0.005383</td>\n",
+       "      <td>0.006151</td>\n",
+       "      <td>0.006664</td>\n",
+       "      <td>0.006800</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.004145</td>\n",
+       "      <td>0.004001</td>\n",
+       "      <td>0.002777</td>\n",
+       "      <td>0.002963</td>\n",
+       "      <td>0.000859</td>\n",
+       "      <td>0.673469</td>\n",
+       "      <td>0.005831</td>\n",
+       "      <td>0.005831</td>\n",
+       "      <td>0.003748</td>\n",
+       "      <td>0.002491</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>PKB241</th>\n",
+       "      <td>0.004300</td>\n",
+       "      <td>0.005767</td>\n",
+       "      <td>0.004998</td>\n",
+       "      <td>0.005831</td>\n",
+       "      <td>0.005767</td>\n",
+       "      <td>0.006247</td>\n",
+       "      <td>0.006920</td>\n",
+       "      <td>0.006920</td>\n",
+       "      <td>0.005414</td>\n",
+       "      <td>0.004000</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.003508</td>\n",
+       "      <td>0.004309</td>\n",
+       "      <td>0.002657</td>\n",
+       "      <td>0.002346</td>\n",
+       "      <td>0.000781</td>\n",
+       "      <td>0.005831</td>\n",
+       "      <td>0.711111</td>\n",
+       "      <td>0.008507</td>\n",
+       "      <td>0.004444</td>\n",
+       "      <td>0.002353</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>PKB242</th>\n",
+       "      <td>0.003762</td>\n",
+       "      <td>0.006536</td>\n",
+       "      <td>0.005767</td>\n",
+       "      <td>0.006664</td>\n",
+       "      <td>0.006536</td>\n",
+       "      <td>0.006664</td>\n",
+       "      <td>0.005767</td>\n",
+       "      <td>0.006920</td>\n",
+       "      <td>0.005831</td>\n",
+       "      <td>0.006000</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.004145</td>\n",
+       "      <td>0.004001</td>\n",
+       "      <td>0.002174</td>\n",
+       "      <td>0.002099</td>\n",
+       "      <td>0.000781</td>\n",
+       "      <td>0.005831</td>\n",
+       "      <td>0.008507</td>\n",
+       "      <td>0.826087</td>\n",
+       "      <td>0.004253</td>\n",
+       "      <td>0.002353</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>PKB247</th>\n",
+       "      <td>0.002956</td>\n",
+       "      <td>0.004614</td>\n",
+       "      <td>0.004998</td>\n",
+       "      <td>0.004998</td>\n",
+       "      <td>0.004614</td>\n",
+       "      <td>0.005414</td>\n",
+       "      <td>0.004229</td>\n",
+       "      <td>0.004229</td>\n",
+       "      <td>0.004581</td>\n",
+       "      <td>0.004800</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.003827</td>\n",
+       "      <td>0.003693</td>\n",
+       "      <td>0.001449</td>\n",
+       "      <td>0.001481</td>\n",
+       "      <td>0.000430</td>\n",
+       "      <td>0.003748</td>\n",
+       "      <td>0.004444</td>\n",
+       "      <td>0.004253</td>\n",
+       "      <td>0.896552</td>\n",
+       "      <td>0.001799</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>PKB248</th>\n",
+       "      <td>0.002768</td>\n",
+       "      <td>0.003045</td>\n",
+       "      <td>0.002768</td>\n",
+       "      <td>0.002630</td>\n",
+       "      <td>0.003045</td>\n",
+       "      <td>0.002630</td>\n",
+       "      <td>0.002491</td>\n",
+       "      <td>0.002768</td>\n",
+       "      <td>0.002353</td>\n",
+       "      <td>0.002215</td>\n",
+       "      <td>...</td>\n",
+       "      <td>0.002353</td>\n",
+       "      <td>0.002630</td>\n",
+       "      <td>0.003623</td>\n",
+       "      <td>0.003333</td>\n",
+       "      <td>0.001523</td>\n",
+       "      <td>0.002491</td>\n",
+       "      <td>0.002353</td>\n",
+       "      <td>0.002353</td>\n",
+       "      <td>0.001799</td>\n",
+       "      <td>0.705882</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>72 rows × 72 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "            PKB4      PKB6      PKB7      PKB8      PKB9     PKB10     PKB11  \\\n",
+       "PKB4    0.688525  0.004300  0.004300  0.004300  0.004300  0.004569  0.004031   \n",
+       "PKB6    0.004300  0.764706  0.009227  0.007689  0.014994  0.008074  0.009612   \n",
+       "PKB7    0.004300  0.009227  0.882353  0.008843  0.009227  0.007305  0.008843   \n",
+       "PKB8    0.004300  0.007689  0.008843  0.755102  0.007689  0.010829  0.007305   \n",
+       "PKB9    0.004300  0.014994  0.009227  0.007689  0.764706  0.008074  0.009612   \n",
+       "...          ...       ...       ...       ...       ...       ...       ...   \n",
+       "PKB240  0.005644  0.006151  0.005767  0.006247  0.006151  0.005414  0.005383   \n",
+       "PKB241  0.004300  0.005767  0.004998  0.005831  0.005767  0.006247  0.006920   \n",
+       "PKB242  0.003762  0.006536  0.005767  0.006664  0.006536  0.006664  0.005767   \n",
+       "PKB247  0.002956  0.004614  0.004998  0.004998  0.004614  0.005414  0.004229   \n",
+       "PKB248  0.002768  0.003045  0.002768  0.002630  0.003045  0.002630  0.002491   \n",
+       "\n",
+       "           PKB13     PKB14     PKB15  ...    PKB206    PKB207    PKB218  \\\n",
+       "PKB4    0.004569  0.004569  0.004300  ...  0.004569  0.005644  0.002898   \n",
+       "PKB6    0.013072  0.008074  0.007689  ...  0.005421  0.004309  0.002294   \n",
+       "PKB7    0.011534  0.008458  0.009612  ...  0.004783  0.004309  0.002415   \n",
+       "PKB8    0.007689  0.010412  0.011600  ...  0.004783  0.005232  0.002415   \n",
+       "PKB9    0.013072  0.008074  0.007689  ...  0.005421  0.004309  0.002294   \n",
+       "...          ...       ...       ...  ...       ...       ...       ...   \n",
+       "PKB240  0.006151  0.006664  0.006800  ...  0.004145  0.004001  0.002777   \n",
+       "PKB241  0.006920  0.005414  0.004000  ...  0.003508  0.004309  0.002657   \n",
+       "PKB242  0.006920  0.005831  0.006000  ...  0.004145  0.004001  0.002174   \n",
+       "PKB247  0.004229  0.004581  0.004800  ...  0.003827  0.003693  0.001449   \n",
+       "PKB248  0.002768  0.002353  0.002215  ...  0.002353  0.002630  0.003623   \n",
+       "\n",
+       "          PKB233    PKB236    PKB240    PKB241    PKB242    PKB247    PKB248  \n",
+       "PKB4    0.003086  0.001016  0.005644  0.004300  0.003762  0.002956  0.002768  \n",
+       "PKB6    0.002346  0.000898  0.006151  0.005767  0.006536  0.004614  0.003045  \n",
+       "PKB7    0.002469  0.000859  0.005767  0.004998  0.005767  0.004998  0.002768  \n",
+       "PKB8    0.002593  0.000898  0.006247  0.005831  0.006664  0.004998  0.002630  \n",
+       "PKB9    0.002346  0.000898  0.006151  0.005767  0.006536  0.004614  0.003045  \n",
+       "...          ...       ...       ...       ...       ...       ...       ...  \n",
+       "PKB240  0.002963  0.000859  0.673469  0.005831  0.005831  0.003748  0.002491  \n",
+       "PKB241  0.002346  0.000781  0.005831  0.711111  0.008507  0.004444  0.002353  \n",
+       "PKB242  0.002099  0.000781  0.005831  0.008507  0.826087  0.004253  0.002353  \n",
+       "PKB247  0.001481  0.000430  0.003748  0.004444  0.004253  0.896552  0.001799  \n",
+       "PKB248  0.003333  0.001523  0.002491  0.002353  0.002353  0.001799  0.705882  \n",
+       "\n",
+       "[72 rows x 72 columns]"
+      ]
+     },
+     "execution_count": 97,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df_approx"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 99,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "f= open(\"guru98.txt\",\"a\")\n",
+    "dfAsString = df_approx.to_string()\n",
+    "f.write(dfAsString)\n",
+    "#for i in range(10):\n",
+    " #    f.write(\"This is line %d\\r\\n\" % (i+1))\n",
+    "f.close()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 100,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from datetime import date\n",
+    "\n",
+    "today = date.today()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 102,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'Mar_08_2022'"
+      ]
+     },
+     "execution_count": 102,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "today.strftime(\"%b_%d_%Y\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {
diff --git a/notebooks_python/compute_distances.py b/notebooks_python/compute_distances.py
new file mode 100755
index 0000000000000000000000000000000000000000..ab03098ac88c02a3a998787a3e31c040f0432dab
--- /dev/null
+++ b/notebooks_python/compute_distances.py
@@ -0,0 +1,366 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Created on Wed Jul 14 18:20:28 2021
+
+@author: nboria
+"""
+
+import import_trees as im
+import gurobipy as gu
+import os
+import networkx as nx
+import numpy as np
+import time
+import pandas as pd
+
+path=""
+
+outpath=""
+
+def intersection(lst1, lst2):
+    lst3 = [value for value in lst1 if value in lst2]
+    return lst3
+
+class Evaluator:
+    def __init__(self):
+        self._preserved_duos_G1=[]
+        self._preserved_duos_G2=[]
+        self._evaluation=0
+        return None
+        
+    
+    def evaluate_sol(self,G1,G2,sol):
+        self._preserved_duos_G1=[]
+        self._preserved_duos_G2=[]
+        self._evaluation=0
+        matched_G1=[m[0] for m in sol]
+        #print('matched_G1',matched_G1)
+        matched_G2=[m[1]-G1.order() for m in sol]
+        #print('matched_G2',matched_G2)
+        edges_G1=list(G1.edges)
+        edges_G2=list(G2.edges)
+        #print(edges_G1)
+        for i in range(len(matched_G1)):
+            for j in range(len(matched_G1)):
+                if (matched_G1[i],matched_G1[j]) in edges_G1:
+                    if (matched_G2[i],matched_G2[j]) in edges_G2:
+                        self._evaluation+=1
+                        self._preserved_duos_G1.append([matched_G1[i],matched_G1[j]])
+                        self._preserved_duos_G2.append([matched_G2[i],matched_G2[j]])                        
+        return self._evaluation
+        
+class Gurobi_solver:
+    def __init__(self,verbose=None):
+        self._name='GUROBI'
+        self._sol=None
+        self._verbose=verbose
+        if self._verbose is None:
+            self._verbose=False
+        self._preserved_duos_G1=[]
+    
+    def compute_duos(self,G1,G2):
+        self._preserved_duos_G1=[]
+        self._sol=[]
+        m=gu.Model('distance')
+        m.setParam('OutputFlag', self._verbose)
+        
+        #VARIABLES
+        x = {}
+        # xij = mapping node i to node j
+        for i in range(G1.order()):
+            for j in range(G2.order()):
+                x[i, j] = m.addVar(vtype=gu.GRB.BINARY)
+        y = {}
+        # yij =1 if duo ij is saved else 0
+        for edge in list(G1.edges):
+            y[edge[0],edge[1]]=m.addVar(vtype=gu.GRB.BINARY)
+        
+        m.update()
+        
+        #CONSTRAINTS
+        
+        for i in range(G1.order()):
+            for j in range(G2.order()):
+                if G1.nodes[i]['lbl']!= G2.nodes[j]['lbl']:
+                    m.addConstr(x[i, j]==0)
+        for i in range(G1.order()):
+            m.addConstr(gu.quicksum(x[i,j] for j in range(G2.order()))<=1)
+        for j in range(G2.order()):
+            m.addConstr(gu.quicksum(x[i,j] for i in range(G1.order()))<=1)
+        for edge1 in list(G1.edges):
+            m.addConstr(y[edge1[0],edge1[1]]<=gu.quicksum(x[edge1[0],edge2[0]]*x[edge1[1],edge2[1]] for edge2 in list(G2.edges)))
+        
+        #OBJECTIVE
+        m.setObjective(gu.quicksum(y[edge[0],edge[1]] for edge in list(G1.edges)), gu.GRB.MAXIMIZE)
+        
+        m.optimize()
+        self._sol=[]
+        for i in range(G1.order()):
+            for j in range(G2.order()):
+                if x[i,j].X>=0.99999:
+                    self._sol.append([i,j+G1.order()])
+        
+        for edge in list(G1.edges):
+            if y[edge[0],edge[1]].X>=0.99999:
+                self._preserved_duos_G1.append([edge[0],edge[1]])
+ 
+class Approx_alg:
+    def __init__(self):
+        self._name='4-APPROX'
+        return None
+
+    def compute_duos(self,G1,G2):
+        self.init_match(G1,G2)
+        self.complete_Sols(G1,G2)
+        self._best_eval=0
+        E=Evaluator()
+        for sol in self._sols:
+            if E.evaluate_sol(G1,G2,sol)>= self._best_eval:
+                self._best_eval=E._evaluation
+                self._sol=sol
+                
+    def matching_solver(self,G1,G2,LMG):
+        #reindexing nodes
+        edges=list(LMG.edges())
+        weights=[]
+        for i,edge in enumerate(edges):
+            weights.append(LMG[edge[0]][edge[1]]['weight'])
+            edges[i]=sorted(edge)
+        list_indices_G1=[]
+        list_indices_G2=[]
+        for node in LMG.nodes:
+            if node < G1.order():
+                list_indices_G1.append(node)
+            else:
+                list_indices_G2.append(node)
+        m=gu.Model()
+        m.setParam('OutputFlag', 0)
+        x={}
+        for i in list_indices_G1:
+            for j in list_indices_G2:
+                x[i,j]=m.addVar()
+        m.update()
+        for i in list_indices_G1:
+            m.addConstr(gu.quicksum(x[i,j] for j in list_indices_G2)<=1)
+        for j in list_indices_G2:
+            m.addConstr(gu.quicksum(x[i,j] for i in list_indices_G1)<=1)
+
+        m.setObjective(gu.quicksum(x[e[0],e[1]]*weights[i] for i,e in enumerate(edges)), gu.GRB.MAXIMIZE)
+        m.optimize()
+        sol=[]
+        for e in edges:
+                if x[e[0],e[1]].X >= 0.9999 :
+                    sol.append([e[0],e[1]])
+        return sol
+                
+            
+
+    def edge_weight(self,G1,v1_id,G2,v2_id):
+        labels_G1 = self._labels_G1
+        labels_G2 = self._labels_G2
+        if labels_G1[v1_id]!=labels_G2[v2_id]:
+            return 0
+        all_attr=self._all_attr
+        num_child_by_attr_v1=np.zeros((len(all_attr)))
+        num_child_by_attr_v2=np.zeros((len(all_attr)))
+        for child in G1.neighbors(v1_id):
+            for i in range(len(all_attr)):
+                if labels_G1[child]==all_attr[i]:
+                    num_child_by_attr_v1[i]+=1
+        for child in G2.neighbors(v2_id):
+            for i in range(len(all_attr)):
+                if labels_G2[child]==all_attr[i]:
+                    num_child_by_attr_v2[i]+=1
+        score=0.00001
+        for i in range(len(all_attr)):
+            score+=min([num_child_by_attr_v1[i],num_child_by_attr_v2[i]])
+        return score
+    
+    def create_LM_graph(self,G1,G2):
+        self._labels_G1 = nx.get_node_attributes(G1, "lbl")
+        self._labels_G2 = nx.get_node_attributes(G2, "lbl")
+        self._all_attr=list(set(list(nx.get_node_attributes(G1,'lbl').values()) +list(nx.get_node_attributes(G2,'lbl').values())))
+        indices_G1=list(range(G1.order()))
+        indices_G2=list(range(G1.order(),G1.order()+G2.order()))
+        LMG=nx.Graph()
+        LMG.add_nodes_from(indices_G1)
+        LMG.add_nodes_from(indices_G2)
+        for v in range(G1.order()):
+            LMG.nodes[v]['depth']=G1.nodes[v]['depth']
+        for v in range(G2.order()):
+            LMG.nodes[indices_G2[v]]['depth']=G2.nodes[v]['depth']
+        for v1 in range(G1.order()):
+            for v2 in range(G2.order()):
+                LMG.add_edge(v1,indices_G2[v2],weight=self.edge_weight(G1,v1,G2,v2))
+        return LMG
+    
+    def complete_Sols(self,G1,G2):
+        Sols=self._sols
+        indices_G1=list(range(G1.order()))
+        indices_G2=list(range(G1.order(),G1.order()+G2.order()))
+        for s,Sol in enumerate(Sols):
+            unmatched=indices_G1+indices_G2
+            matched=[]
+            for edge in Sol:
+                matched.append(edge[0])
+                matched.append(edge[1])
+                unmatched.remove(edge[0])
+                unmatched.remove(edge[1])
+            RG=nx.Graph()
+            RG.add_nodes_from(unmatched)
+            for v1 in intersection(indices_G1,unmatched):
+                for v2 in intersection(indices_G2,unmatched):
+                    if G1.nodes[v1]['lbl']!=G2.nodes[v2-G1.order()]['lbl']:
+                        edge_weight=0
+                    else:
+                        edge_weight=0.000001
+                        if len(list(G1.predecessors(v1)))==len(list(G2.predecessors(v2-G1.order())))==1:
+                            f_v1=list(G1.predecessors(v1))[0]
+                            f_v2=list(G2.predecessors(v2-G1.order()))[0]
+                            if [f_v1,indices_G2[f_v2]] in Sol:
+                                edge_weight+=1
+                        matched_sons_v1=intersection(matched,G1.neighbors(v1))
+                        matched_sons_v2=intersection(matched,G2.neighbors(v2-G1.order()))
+                        for s_v1 in matched_sons_v1:
+                            for s_v2 in matched_sons_v2:
+                                if [s_v1,indices_G2[s_v2]] in Sol:
+                                    edge_weight+=1
+                    RG.add_edge(v1,v2,weight=edge_weight)
+            #sol_add=list(nx.max_weight_matching(RG))
+            sol_add=self.matching_solver(G1,G2,RG)
+            for i,match in enumerate(sol_add):
+                sol_add[i]=sorted(match)
+            Sols[s]=Sol+sol_add
+        self._sols=Sols
+            
+                
+    def init_match(self,G1,G2):
+        LMG=self.create_LM_graph(G1,G2)
+        #indices_G1=list(range(G1.order()))
+        #indices_G2=list(range(G1.order(),G1.order()+G2.order()))
+        V1_even=[]
+        V1_odd=[]
+        V2_even=[]
+        V2_odd=[]
+        for i,node in enumerate(LMG.nodes):
+            if LMG.nodes[node]['depth']%2==0:
+                if i<G1.order():
+                    V1_even.append(i)
+                else:
+                    V2_even.append(i)
+            elif i<G1.order():
+                V1_odd.append(i)
+            else:
+                V2_odd.append(i)
+        Vs=[]
+        Vs.append(V1_even+V2_even)
+        Vs.append(V1_even+V2_odd)
+        Vs.append(V1_odd+V2_even)
+        Vs.append(V1_odd+V2_odd)
+        Sols=[]
+        for V in Vs:
+            LMG_temp=LMG.subgraph(V)
+            #sol=list(nx.max_weight_matching(LMG_temp))
+            sol=self.matching_solver(G1,G2,LMG_temp)
+            for i,match in enumerate(sol):
+                sol[i]=sorted(match)
+            Sols.append(sol)
+        self._sols=Sols       
+    
+    
+
+def import_graph_coll(path):
+    #returns a list of lists of graphs 
+    graph_coll=[]
+    listdir=os.listdir(path)
+    for dire in listdir:
+        graph_coll.append([])
+        graphdir=os.listdir(path+'/'+dire)
+        for graph_file in graphdir:
+            graph_coll[-1].append(nx.readwrite.gml.read_gml(path+'/'+dire+'/'+graph_file,label='id'))
+    return graph_coll
+
+def graph_coll_edit(coll):
+    # adds depth data to each vertex in the collection:
+    for mR in coll:
+        for G in mR:
+           for node in G.nodes:
+               SP=nx.shortest_path_length(G,0)
+               G.nodes[node]['depth']=SP[node]
+    return coll
+
+
+def import_graph_names(path):
+    #returns a list of names of graphs 
+    listdir=os.listdir(path)
+    return listdir
+               
+
+
+            
+    
+        
+                
+     
+#graph_coll=import_graph_coll(path)    
+#graph_coll=graph_coll_edit(graph_coll)
+#graph_names_list = import_graph_names(path)
+#print(Sols)
+#E=Evaluator()
+#ALG=Approx_alg()
+#GU=Gurobi_solver(0)
+#print('new',Sols)
+
+#graph_coll=[graph_coll[i] for i in range(10)]
+#graph_names_list=[graph_names_list[i] for i in range(10)]
+
+#duos_matrix=np.zeros((2,len(graph_coll),len(graph_coll)))
+#times_matrix=np.zeros((2,len(graph_coll),len(graph_coll)))
+
+
+
+#for i in range(len(graph_coll)):
+ #   for j in range(len(graph_coll)):
+  #      duos= np.zeros((len(graph_coll[i]),len(graph_coll[j])))
+   #     times=np.zeros((len(graph_coll[i]),len(graph_coll[j])))
+    #    for alg_index,dist_alg in enumerate([ALG,GU]):
+     #       for ii in range(len(graph_coll[i])):
+      #          for jj in range(len(graph_coll[j])):
+       #             G1=graph_coll[i][ii]
+       #             G2=graph_coll[j][jj]
+       #             tic=time.time()
+       #             dist_alg.compute_duos(G1,G2)
+       #             tac=time.time()
+       #             duos[ii,jj]=E.evaluate_sol(G1,G2,dist_alg._sol)
+       #             times[ii,jj]=tac-tic
+       #     max_duo=np.max(duos)
+      #      min_time=times[np.unravel_index(duos.argmax(),duos.shape)]
+     #       duos_matrix[alg_index,i,j]=max_duo
+    #        times_matrix[alg_index,i,j]=min_time
+   #     print('duo_ratio=',duos_matrix[0,i,j]/duos_matrix[1,i,j],'time ratio=',times_matrix[0,i,j]/times_matrix[1,i,j])
+  #  print("test")
+#print('avg duo ratio=',np.mean(duos_matrix[0]/duos_matrix[1]), 'avg time ratio=',np.mean(times_matrix[0]/times_matrix[1]))
+
+    
+#np.savetxt("duos_matrix_approx.csv", duos_matrix[0], delimiter=",")
+#np.savetxt("duos_matrix_gurobi.csv", duos_matrix[1], delimiter=",")
+
+#df_duos_approx = pd.DataFrame(data=duos_matrix[0], index=graph_names_list, columns=graph_names_list)
+#df_duos_gurobi = pd.DataFrame(data=duos_matrix[1], index=graph_names_list, columns=graph_names_list)
+
+#df_duos_times_approx = pd.DataFrame(data=times_matrix[0], index=graph_names_list, columns=graph_names_list)
+#df_duos_times_gurobi = pd.DataFrame(data=times_matrix[1], index=graph_names_list, columns=graph_names_list)
+
+#df_duos_approx.to_csv('df_duos_approx.csv')
+#df_duos_gurobi.to_csv('df_duos_gurobi.csv')
+
+#df_duos_times_approx.to_csv('df_times_approx.csv')
+#df_duos_times_gurobi.to_csv('df_times_gurobi.csv')
+
+                
+
+
+    
+#graph_coll=[]
+#for dire in lis_dir
diff --git a/notebooks_python/test_compute_distances.py b/notebooks_python/test_compute_distances.py
old mode 100755
new mode 100644
index 38eb6352fd0f7fb04cd056debf69bd7aaa4dda21..9a506ee9ea9d730e072416313e1e1347edac4b44
--- a/notebooks_python/test_compute_distances.py
+++ b/notebooks_python/test_compute_distances.py
@@ -1,307 +1,27 @@
-#!/usr/bin/env python3
-# -*- coding: utf-8 -*-
-"""
-Created on Wed Jul 14 18:20:28 2021
-
-@author: nboria
-"""
-
 import import_trees as im
 import gurobipy as gu
 import os
 import networkx as nx
 import numpy as np
 import time
+from datetime import date
 import pandas as pd
+from compute_distances import *
 
-path="/home/jana/Documents/BIONETs/Code/tree_match_approx_validator/data_Jana"
-
-outpath="/home/jana/Documents/BIONETs/Code/tree_match_approx_validator/res_jana"
-
-def intersection(lst1, lst2):
-    lst3 = [value for value in lst1 if value in lst2]
-    return lst3
-
-class Evaluator:
-    def __init__(self):
-        self._preserved_duos_G1=[]
-        self._preserved_duos_G2=[]
-        self._evaluation=0
-        return None
-        
-    
-    def evaluate_sol(self,G1,G2,sol):
-        self._preserved_duos_G1=[]
-        self._preserved_duos_G2=[]
-        self._evaluation=0
-        matched_G1=[m[0] for m in sol]
-        #print('matched_G1',matched_G1)
-        matched_G2=[m[1]-G1.order() for m in sol]
-        #print('matched_G2',matched_G2)
-        edges_G1=list(G1.edges)
-        edges_G2=list(G2.edges)
-        #print(edges_G1)
-        for i in range(len(matched_G1)):
-            for j in range(len(matched_G1)):
-                if (matched_G1[i],matched_G1[j]) in edges_G1:
-                    if (matched_G2[i],matched_G2[j]) in edges_G2:
-                        self._evaluation+=1
-                        self._preserved_duos_G1.append([matched_G1[i],matched_G1[j]])
-                        self._preserved_duos_G2.append([matched_G2[i],matched_G2[j]])                        
-        return self._evaluation
-        
-class Gurobi_solver:
-    def __init__(self,verbose=None):
-        self._name='GUROBI'
-        self._sol=None
-        self._verbose=verbose
-        if self._verbose is None:
-            self._verbose=False
-        self._preserved_duos_G1=[]
-    
-    def compute_duos(self,G1,G2):
-        self._preserved_duos_G1=[]
-        self._sol=[]
-        m=gu.Model('distance')
-        m.setParam('OutputFlag', self._verbose)
-        
-        #VARIABLES
-        x = {}
-        # xij = mapping node i to node j
-        for i in range(G1.order()):
-            for j in range(G2.order()):
-                x[i, j] = m.addVar(vtype=gu.GRB.BINARY)
-        y = {}
-        # yij =1 if duo ij is saved else 0
-        for edge in list(G1.edges):
-            y[edge[0],edge[1]]=m.addVar(vtype=gu.GRB.BINARY)
-        
-        m.update()
-        
-        #CONSTRAINTS
-        
-        for i in range(G1.order()):
-            for j in range(G2.order()):
-                if G1.nodes[i]['lbl']!= G2.nodes[j]['lbl']:
-                    m.addConstr(x[i, j]==0)
-        for i in range(G1.order()):
-            m.addConstr(gu.quicksum(x[i,j] for j in range(G2.order()))<=1)
-        for j in range(G2.order()):
-            m.addConstr(gu.quicksum(x[i,j] for i in range(G1.order()))<=1)
-        for edge1 in list(G1.edges):
-            m.addConstr(y[edge1[0],edge1[1]]<=gu.quicksum(x[edge1[0],edge2[0]]*x[edge1[1],edge2[1]] for edge2 in list(G2.edges)))
-        
-        #OBJECTIVE
-        m.setObjective(gu.quicksum(y[edge[0],edge[1]] for edge in list(G1.edges)), gu.GRB.MAXIMIZE)
-        
-        m.optimize()
-        self._sol=[]
-        for i in range(G1.order()):
-            for j in range(G2.order()):
-                if x[i,j].X>=0.99999:
-                    self._sol.append([i,j+G1.order()])
-        
-        for edge in list(G1.edges):
-            if y[edge[0],edge[1]].X>=0.99999:
-                self._preserved_duos_G1.append([edge[0],edge[1]])
- 
-class Approx_alg:
-    def __init__(self):
-        self._name='4-APPROX'
-        return None
-
-    def compute_duos(self,G1,G2):
-        self.init_match(G1,G2)
-        self.complete_Sols(G1,G2)
-        self._best_eval=0
-        E=Evaluator()
-        for sol in self._sols:
-            if E.evaluate_sol(G1,G2,sol)>= self._best_eval:
-                self._best_eval=E._evaluation
-                self._sol=sol
-                
-    def matching_solver(self,G1,G2,LMG):
-        #reindexing nodes
-        edges=list(LMG.edges())
-        weights=[]
-        for i,edge in enumerate(edges):
-            weights.append(LMG[edge[0]][edge[1]]['weight'])
-            edges[i]=sorted(edge)
-        list_indices_G1=[]
-        list_indices_G2=[]
-        for node in LMG.nodes:
-            if node < G1.order():
-                list_indices_G1.append(node)
-            else:
-                list_indices_G2.append(node)
-        m=gu.Model()
-        m.setParam('OutputFlag', 0)
-        x={}
-        for i in list_indices_G1:
-            for j in list_indices_G2:
-                x[i,j]=m.addVar()
-        m.update()
-        for i in list_indices_G1:
-            m.addConstr(gu.quicksum(x[i,j] for j in list_indices_G2)<=1)
-        for j in list_indices_G2:
-            m.addConstr(gu.quicksum(x[i,j] for i in list_indices_G1)<=1)
-
-        m.setObjective(gu.quicksum(x[e[0],e[1]]*weights[i] for i,e in enumerate(edges)), gu.GRB.MAXIMIZE)
-        m.optimize()
-        sol=[]
-        for e in edges:
-                if x[e[0],e[1]].X >= 0.9999 :
-                    sol.append([e[0],e[1]])
-        return sol
-                
-            
+max_n = 10
 
-    def edge_weight(self,G1,v1_id,G2,v2_id):
-        labels_G1 = self._labels_G1
-        labels_G2 = self._labels_G2
-        if labels_G1[v1_id]!=labels_G2[v2_id]:
-            return 0
-        all_attr=self._all_attr
-        num_child_by_attr_v1=np.zeros((len(all_attr)))
-        num_child_by_attr_v2=np.zeros((len(all_attr)))
-        for child in G1.neighbors(v1_id):
-            for i in range(len(all_attr)):
-                if labels_G1[child]==all_attr[i]:
-                    num_child_by_attr_v1[i]+=1
-        for child in G2.neighbors(v2_id):
-            for i in range(len(all_attr)):
-                if labels_G2[child]==all_attr[i]:
-                    num_child_by_attr_v2[i]+=1
-        score=0.00001
-        for i in range(len(all_attr)):
-            score+=min([num_child_by_attr_v1[i],num_child_by_attr_v2[i]])
-        return score
-    
-    def create_LM_graph(self,G1,G2):
-        self._labels_G1 = nx.get_node_attributes(G1, "lbl")
-        self._labels_G2 = nx.get_node_attributes(G2, "lbl")
-        self._all_attr=list(set(list(nx.get_node_attributes(G1,'lbl').values()) +list(nx.get_node_attributes(G2,'lbl').values())))
-        indices_G1=list(range(G1.order()))
-        indices_G2=list(range(G1.order(),G1.order()+G2.order()))
-        LMG=nx.Graph()
-        LMG.add_nodes_from(indices_G1)
-        LMG.add_nodes_from(indices_G2)
-        for v in range(G1.order()):
-            LMG.nodes[v]['depth']=G1.nodes[v]['depth']
-        for v in range(G2.order()):
-            LMG.nodes[indices_G2[v]]['depth']=G2.nodes[v]['depth']
-        for v1 in range(G1.order()):
-            for v2 in range(G2.order()):
-                LMG.add_edge(v1,indices_G2[v2],weight=self.edge_weight(G1,v1,G2,v2))
-        return LMG
-    
-    def complete_Sols(self,G1,G2):
-        Sols=self._sols
-        indices_G1=list(range(G1.order()))
-        indices_G2=list(range(G1.order(),G1.order()+G2.order()))
-        for s,Sol in enumerate(Sols):
-            unmatched=indices_G1+indices_G2
-            matched=[]
-            for edge in Sol:
-                matched.append(edge[0])
-                matched.append(edge[1])
-                unmatched.remove(edge[0])
-                unmatched.remove(edge[1])
-            RG=nx.Graph()
-            RG.add_nodes_from(unmatched)
-            for v1 in intersection(indices_G1,unmatched):
-                for v2 in intersection(indices_G2,unmatched):
-                    if G1.nodes[v1]['lbl']!=G2.nodes[v2-G1.order()]['lbl']:
-                        edge_weight=0
-                    else:
-                        edge_weight=0.000001
-                        if len(list(G1.predecessors(v1)))==len(list(G2.predecessors(v2-G1.order())))==1:
-                            f_v1=list(G1.predecessors(v1))[0]
-                            f_v2=list(G2.predecessors(v2-G1.order()))[0]
-                            if [f_v1,indices_G2[f_v2]] in Sol:
-                                edge_weight+=1
-                        matched_sons_v1=intersection(matched,G1.neighbors(v1))
-                        matched_sons_v2=intersection(matched,G2.neighbors(v2-G1.order()))
-                        for s_v1 in matched_sons_v1:
-                            for s_v2 in matched_sons_v2:
-                                if [s_v1,indices_G2[s_v2]] in Sol:
-                                    edge_weight+=1
-                    RG.add_edge(v1,v2,weight=edge_weight)
-            #sol_add=list(nx.max_weight_matching(RG))
-            sol_add=self.matching_solver(G1,G2,RG)
-            for i,match in enumerate(sol_add):
-                sol_add[i]=sorted(match)
-            Sols[s]=Sol+sol_add
-        self._sols=Sols
-            
-                
-    def init_match(self,G1,G2):
-        LMG=self.create_LM_graph(G1,G2)
-        #indices_G1=list(range(G1.order()))
-        #indices_G2=list(range(G1.order(),G1.order()+G2.order()))
-        V1_even=[]
-        V1_odd=[]
-        V2_even=[]
-        V2_odd=[]
-        for i,node in enumerate(LMG.nodes):
-            if LMG.nodes[node]['depth']%2==0:
-                if i<G1.order():
-                    V1_even.append(i)
-                else:
-                    V2_even.append(i)
-            elif i<G1.order():
-                V1_odd.append(i)
-            else:
-                V2_odd.append(i)
-        Vs=[]
-        Vs.append(V1_even+V2_even)
-        Vs.append(V1_even+V2_odd)
-        Vs.append(V1_odd+V2_even)
-        Vs.append(V1_odd+V2_odd)
-        Sols=[]
-        for V in Vs:
-            LMG_temp=LMG.subgraph(V)
-            #sol=list(nx.max_weight_matching(LMG_temp))
-            sol=self.matching_solver(G1,G2,LMG_temp)
-            for i,match in enumerate(sol):
-                sol[i]=sorted(match)
-            Sols.append(sol)
-        self._sols=Sols       
-    
-    
+path="/home/jana/Documents/BIONETs/Code/tree_match_approx_validator/all_other_data/scalability_trees/max_n_"+ str(max_n) +"_trees"
+print('path ', path)
+outpath = path +'_results_' + str(date.today().strftime("%b_%d_%Y")+ "\n")
 
-def import_graph_coll(path):
-    #returns a list of lists of graphs 
-    graph_coll=[]
-    listdir=os.listdir(path)
-    for dire in listdir:
-        graph_coll.append([])
-        graphdir=os.listdir(path+'/'+dire)
-        for graph_file in graphdir:
-            graph_coll[-1].append(nx.readwrite.gml.read_gml(path+'/'+dire+'/'+graph_file,label='id'))
-    return graph_coll
+os.mkdir(outpath)
+f = open(outpath + "/report.txt","a")
 
-def graph_coll_edit(coll):
-    # adds depth data to each vertex in the collection:
-    for mR in coll:
-        for G in mR:
-           for node in G.nodes:
-               SP=nx.shortest_path_length(G,0)
-               G.nodes[node]['depth']=SP[node]
-    return coll
+f.write("Report for " + str(date.today().strftime("%b_%d_%Y")+ "\n"))
+f.write("inpath: " + str(path) + "\n")
+f.write("outpath: " + str(outpath) + "\n")
+f.write("max_n: " + str(max_n) + "\n")
 
-
-def import_graph_names(path):
-    #returns a list of names of graphs 
-    listdir=os.listdir(path)
-    return listdir
-               
-
-
-            
-    
-        
-                
      
 graph_coll=import_graph_coll(path)    
 graph_coll=graph_coll_edit(graph_coll)
@@ -312,49 +32,55 @@ ALG=Approx_alg()
 GU=Gurobi_solver(0)
 #print('new',Sols)
 
-graph_coll=[graph_coll[i] for i in range(10)]
-graph_names_list=[graph_names_list[i] for i in range(10)]
+#graph_coll=[graph_coll[i] for i in range(10)]
+#graph_names_list=[graph_names_list[i] for i in range(10)]
 
 duos_matrix=np.zeros((2,len(graph_coll),len(graph_coll)))
 times_matrix=np.zeros((2,len(graph_coll),len(graph_coll)))
 
+timeout = 300 #seconds
+first_time = time.time()
+
+while time.time() < first_time + timeout:
+    for i in range(len(graph_coll)):
+        for j in range(len(graph_coll)):
+            duos= np.zeros((len(graph_coll[i]),len(graph_coll[j])))
+            times=np.zeros((len(graph_coll[i]),len(graph_coll[j])))
+            for alg_index,dist_alg in enumerate([ALG,GU]):
+                for ii in range(len(graph_coll[i])):
+                    for jj in range(len(graph_coll[j])):
+                        G1=graph_coll[i][ii]
+                        G2=graph_coll[j][jj]
+                        tic=time.time()
+                        dist_alg.compute_duos(G1,G2)
+                        tac=time.time()
+                        duos[ii,jj]=E.evaluate_sol(G1,G2,dist_alg._sol)
+                        times[ii,jj]=tac-tic
+                max_duo=np.max(duos)
+                min_time=times[np.unravel_index(duos.argmax(),duos.shape)]
+                duos_matrix[alg_index,i,j]=max_duo
+                times_matrix[alg_index,i,j]=min_time
+            print('duo_ratio=',duos_matrix[0,i,j]/duos_matrix[1,i,j],'time ratio=',times_matrix[0,i,j]/times_matrix[1,i,j])
+        print("test")
+print('avg duo ratio=',np.mean(duos_matrix[0]/duos_matrix[1]), 'avg time ratio=',np.mean(times_matrix[0]/times_matrix[1]))
 
+entire_duration = time.time()-first_time
 
-for i in range(len(graph_coll)):
-    for j in range(len(graph_coll)):
-        duos= np.zeros((len(graph_coll[i]),len(graph_coll[j])))
-        times=np.zeros((len(graph_coll[i]),len(graph_coll[j])))
-        for alg_index,dist_alg in enumerate([ALG,GU]):
-            for ii in range(len(graph_coll[i])):
-                for jj in range(len(graph_coll[j])):
-                    G1=graph_coll[i][ii]
-                    G2=graph_coll[j][jj]
-                    tic=time.time()
-                    dist_alg.compute_duos(G1,G2)
-                    tac=time.time()
-                    duos[ii,jj]=E.evaluate_sol(G1,G2,dist_alg._sol)
-                    times[ii,jj]=tac-tic
-            max_duo=np.max(duos)
-            min_time=times[np.unravel_index(duos.argmax(),duos.shape)]
-            duos_matrix[alg_index,i,j]=max_duo
-            times_matrix[alg_index,i,j]=min_time
-        print('duo_ratio=',duos_matrix[0,i,j]/duos_matrix[1,i,j],'time ratio=',times_matrix[0,i,j]/times_matrix[1,i,j])
-    print("test")
-print('avg duo ratio=',np.mean(duos_matrix[0]/duos_matrix[1]), 'avg time ratio=',np.mean(times_matrix[0]/times_matrix[1]))
+f.write("entire duration: " + str(entire_duration) + "\n")
+f.write('avg duo ratio=',np.mean(duos_matrix[0]/duos_matrix[1]))
+f.write('avg time ratio=',np.mean(times_matrix[0]/times_matrix[1]))
 
-    
 #np.savetxt("duos_matrix_approx.csv", duos_matrix[0], delimiter=",")
 #np.savetxt("duos_matrix_gurobi.csv", duos_matrix[1], delimiter=",")
 
 df_duos_approx = pd.DataFrame(data=duos_matrix[0], index=graph_names_list, columns=graph_names_list)
 df_duos_gurobi = pd.DataFrame(data=duos_matrix[1], index=graph_names_list, columns=graph_names_list)
 
-df_duos_approx.to_csv('df_duos_approx.csv')
-df_duos_gurobi.to_csv('df_duos_gurobi.csv')
-
-                
+df_duos_times_approx = pd.DataFrame(data=times_matrix[0], index=graph_names_list, columns=graph_names_list)
+df_duos_times_gurobi = pd.DataFrame(data=times_matrix[1], index=graph_names_list, columns=graph_names_list)
 
+df_duos_approx.to_csv(outpath + 'df_duos_approx.csv')
+df_duos_gurobi.to_csv(outpath + 'df_duos_gurobi.csv')
 
-    
-#graph_coll=[]
-#for dire in lis_dir
+df_duos_times_approx.to_csv(outpath + 'df_times_approx.csv')
+df_duos_times_gurobi.to_csv(outpath + 'df_times_gurobi.csv')