diff --git a/testing.ipynb b/testing.ipynb
index a4d4859..07edd25 100644
--- a/testing.ipynb
+++ b/testing.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -28,6 +28,792 @@
     "import sys\n",
     "warnings.filterwarnings(\"ignore\")"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "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>Graph</th>\n",
+       "      <th>Number of Nodes</th>\n",
+       "      <th>Number of Edges</th>\n",
+       "      <th>Average Degree</th>\n",
+       "      <th>Average Clustering Coefficient</th>\n",
+       "      <th>log N</th>\n",
+       "      <th>Average Shortest Path Length</th>\n",
+       "      <th>betweenness centrality</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>Brightkite Checkins Graph</td>\n",
+       "      <td>6493</td>\n",
+       "      <td>292973</td>\n",
+       "      <td>90.242723</td>\n",
+       "      <td>0.713999</td>\n",
+       "      <td>8.778480</td>\n",
+       "      <td>3.013369</td>\n",
+       "      <td>0.000534</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>Gowalla Checkins Graph</td>\n",
+       "      <td>3073</td>\n",
+       "      <td>62790</td>\n",
+       "      <td>40.865604</td>\n",
+       "      <td>0.548372</td>\n",
+       "      <td>8.030410</td>\n",
+       "      <td>3.508031</td>\n",
+       "      <td>0.001277</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>Foursquare Checkins Graph</td>\n",
+       "      <td>2324</td>\n",
+       "      <td>246702</td>\n",
+       "      <td>212.30809</td>\n",
+       "      <td>0.65273</td>\n",
+       "      <td>7.751045</td>\n",
+       "      <td>2.186112</td>\n",
+       "      <td>0.000938</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>Brightkite Friendship Graph</td>\n",
+       "      <td>5420</td>\n",
+       "      <td>14690</td>\n",
+       "      <td>5.420664</td>\n",
+       "      <td>0.218571</td>\n",
+       "      <td>8.597851</td>\n",
+       "      <td>5.231807</td>\n",
+       "      <td>0.000664</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>(Filtered) Gowalla Friendship Graph</td>\n",
+       "      <td>2294</td>\n",
+       "      <td>5548</td>\n",
+       "      <td>4.836966</td>\n",
+       "      <td>0.234293</td>\n",
+       "      <td>7.738052</td>\n",
+       "      <td>5.396488</td>\n",
+       "      <td>0.001331</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>5</th>\n",
+       "      <td>Foursquare Friendship Graph</td>\n",
+       "      <td>1397</td>\n",
+       "      <td>5323</td>\n",
+       "      <td>7.620616</td>\n",
+       "      <td>0.183485</td>\n",
+       "      <td>7.242082</td>\n",
+       "      <td>6.45841</td>\n",
+       "      <td>0.001531</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                                 Graph Number of Nodes Number of Edges  \\\n",
+       "0            Brightkite Checkins Graph            6493          292973   \n",
+       "1               Gowalla Checkins Graph            3073           62790   \n",
+       "2            Foursquare Checkins Graph            2324          246702   \n",
+       "3          Brightkite Friendship Graph            5420           14690   \n",
+       "4  (Filtered) Gowalla Friendship Graph            2294            5548   \n",
+       "5          Foursquare Friendship Graph            1397            5323   \n",
+       "\n",
+       "  Average Degree Average Clustering Coefficient     log N  \\\n",
+       "0      90.242723                       0.713999  8.778480   \n",
+       "1      40.865604                       0.548372  8.030410   \n",
+       "2      212.30809                        0.65273  7.751045   \n",
+       "3       5.420664                       0.218571  8.597851   \n",
+       "4       4.836966                       0.234293  7.738052   \n",
+       "5       7.620616                       0.183485  7.242082   \n",
+       "\n",
+       "  Average Shortest Path Length betweenness centrality  \n",
+       "0                     3.013369               0.000534  \n",
+       "1                     3.508031               0.001277  \n",
+       "2                     2.186112               0.000938  \n",
+       "3                     5.231807               0.000664  \n",
+       "4                     5.396488               0.001331  \n",
+       "5                      6.45841               0.001531  "
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "analysis_results = pd.read_pickle('analysis_results.pkl')\n",
+    "analysis_results"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "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>Graph</th>\n",
+       "      <th>Number of Nodes</th>\n",
+       "      <th>Number of Edges</th>\n",
+       "      <th>Average Degree</th>\n",
+       "      <th>Average Clustering Coefficient</th>\n",
+       "      <th>log N</th>\n",
+       "      <th>Average Shortest Path Length</th>\n",
+       "      <th>betweenness centrality</th>\n",
+       "      <th>omega-coefficient</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>Brightkite Checkins Graph</td>\n",
+       "      <td>6493</td>\n",
+       "      <td>292973</td>\n",
+       "      <td>90.242723</td>\n",
+       "      <td>0.713999</td>\n",
+       "      <td>8.778480</td>\n",
+       "      <td>3.013369</td>\n",
+       "      <td>0.000534</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>Gowalla Checkins Graph</td>\n",
+       "      <td>3073</td>\n",
+       "      <td>62790</td>\n",
+       "      <td>40.865604</td>\n",
+       "      <td>0.548372</td>\n",
+       "      <td>8.030410</td>\n",
+       "      <td>3.508031</td>\n",
+       "      <td>0.001277</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>Foursquare Checkins Graph</td>\n",
+       "      <td>2324</td>\n",
+       "      <td>246702</td>\n",
+       "      <td>212.30809</td>\n",
+       "      <td>0.65273</td>\n",
+       "      <td>7.751045</td>\n",
+       "      <td>2.186112</td>\n",
+       "      <td>0.000938</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>Brightkite Friendship Graph</td>\n",
+       "      <td>5420</td>\n",
+       "      <td>14690</td>\n",
+       "      <td>5.420664</td>\n",
+       "      <td>0.218571</td>\n",
+       "      <td>8.597851</td>\n",
+       "      <td>5.231807</td>\n",
+       "      <td>0.000664</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>(Filtered) Gowalla Friendship Graph</td>\n",
+       "      <td>2294</td>\n",
+       "      <td>5548</td>\n",
+       "      <td>4.836966</td>\n",
+       "      <td>0.234293</td>\n",
+       "      <td>7.738052</td>\n",
+       "      <td>5.396488</td>\n",
+       "      <td>0.001331</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>5</th>\n",
+       "      <td>Foursquare Friendship Graph</td>\n",
+       "      <td>1397</td>\n",
+       "      <td>5323</td>\n",
+       "      <td>7.620616</td>\n",
+       "      <td>0.183485</td>\n",
+       "      <td>7.242082</td>\n",
+       "      <td>6.45841</td>\n",
+       "      <td>0.001531</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                                 Graph Number of Nodes Number of Edges  \\\n",
+       "0            Brightkite Checkins Graph            6493          292973   \n",
+       "1               Gowalla Checkins Graph            3073           62790   \n",
+       "2            Foursquare Checkins Graph            2324          246702   \n",
+       "3          Brightkite Friendship Graph            5420           14690   \n",
+       "4  (Filtered) Gowalla Friendship Graph            2294            5548   \n",
+       "5          Foursquare Friendship Graph            1397            5323   \n",
+       "\n",
+       "  Average Degree Average Clustering Coefficient     log N  \\\n",
+       "0      90.242723                       0.713999  8.778480   \n",
+       "1      40.865604                       0.548372  8.030410   \n",
+       "2      212.30809                        0.65273  7.751045   \n",
+       "3       5.420664                       0.218571  8.597851   \n",
+       "4       4.836966                       0.234293  7.738052   \n",
+       "5       7.620616                       0.183485  7.242082   \n",
+       "\n",
+       "  Average Shortest Path Length betweenness centrality  omega-coefficient  \n",
+       "0                     3.013369               0.000534                NaN  \n",
+       "1                     3.508031               0.001277                NaN  \n",
+       "2                     2.186112               0.000938                NaN  \n",
+       "3                     5.231807               0.000664                NaN  \n",
+       "4                     5.396488               0.001331                NaN  \n",
+       "5                      6.45841               0.001531                NaN  "
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "analysis_results['omega-coefficient'] = np.nan\n",
+    "analysis_results"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "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>Graph</th>\n",
+       "      <th>Number of Nodes</th>\n",
+       "      <th>Number of Edges</th>\n",
+       "      <th>Average Degree</th>\n",
+       "      <th>Average Clustering Coefficient</th>\n",
+       "      <th>log N</th>\n",
+       "      <th>Average Shortest Path Length</th>\n",
+       "      <th>betweenness centrality</th>\n",
+       "      <th>omega-coefficient</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>Brightkite Checkins Graph</td>\n",
+       "      <td>6493</td>\n",
+       "      <td>292973</td>\n",
+       "      <td>90.242723</td>\n",
+       "      <td>0.713999</td>\n",
+       "      <td>8.778480</td>\n",
+       "      <td>3.013369</td>\n",
+       "      <td>0.000534</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>Gowalla Checkins Graph</td>\n",
+       "      <td>3073</td>\n",
+       "      <td>62790</td>\n",
+       "      <td>40.865604</td>\n",
+       "      <td>0.548372</td>\n",
+       "      <td>8.030410</td>\n",
+       "      <td>3.508031</td>\n",
+       "      <td>0.001277</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>Foursquare Checkins Graph</td>\n",
+       "      <td>2324</td>\n",
+       "      <td>246702</td>\n",
+       "      <td>212.30809</td>\n",
+       "      <td>0.65273</td>\n",
+       "      <td>7.751045</td>\n",
+       "      <td>2.186112</td>\n",
+       "      <td>0.000938</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>Brightkite Friendship Graph</td>\n",
+       "      <td>5420</td>\n",
+       "      <td>14690</td>\n",
+       "      <td>5.420664</td>\n",
+       "      <td>0.218571</td>\n",
+       "      <td>8.597851</td>\n",
+       "      <td>5.231807</td>\n",
+       "      <td>0.000664</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>(Filtered) Gowalla Friendship Graph</td>\n",
+       "      <td>2294</td>\n",
+       "      <td>5548</td>\n",
+       "      <td>4.836966</td>\n",
+       "      <td>0.234293</td>\n",
+       "      <td>7.738052</td>\n",
+       "      <td>5.396488</td>\n",
+       "      <td>0.001331</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>5</th>\n",
+       "      <td>Foursquare Friendship Graph</td>\n",
+       "      <td>1397</td>\n",
+       "      <td>5323</td>\n",
+       "      <td>7.620616</td>\n",
+       "      <td>0.183485</td>\n",
+       "      <td>7.242082</td>\n",
+       "      <td>6.45841</td>\n",
+       "      <td>0.001531</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                                 Graph Number of Nodes Number of Edges  \\\n",
+       "0            Brightkite Checkins Graph            6493          292973   \n",
+       "1               Gowalla Checkins Graph            3073           62790   \n",
+       "2            Foursquare Checkins Graph            2324          246702   \n",
+       "3          Brightkite Friendship Graph            5420           14690   \n",
+       "4  (Filtered) Gowalla Friendship Graph            2294            5548   \n",
+       "5          Foursquare Friendship Graph            1397            5323   \n",
+       "\n",
+       "  Average Degree Average Clustering Coefficient     log N  \\\n",
+       "0      90.242723                       0.713999  8.778480   \n",
+       "1      40.865604                       0.548372  8.030410   \n",
+       "2      212.30809                        0.65273  7.751045   \n",
+       "3       5.420664                       0.218571  8.597851   \n",
+       "4       4.836966                       0.234293  7.738052   \n",
+       "5       7.620616                       0.183485  7.242082   \n",
+       "\n",
+       "  Average Shortest Path Length betweenness centrality  omega-coefficient  \n",
+       "0                     3.013369               0.000534                NaN  \n",
+       "1                     3.508031               0.001277                NaN  \n",
+       "2                     2.186112               0.000938                NaN  \n",
+       "3                     5.231807               0.000664                NaN  \n",
+       "4                     5.396488               0.001331                NaN  \n",
+       "5                      6.45841               0.001531                NaN  "
+      ]
+     },
+     "execution_count": 16,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# rename (Filtered) Gowalla Friendship Graph in Gowalla Friendship Graph\n",
+    "analysis_results.loc[analysis_results['Graph'] == 'Filtered Gowalla Friendship Graph', 'Graph'] = 'Gowalla Friendship Graph'\n",
+    "analysis_results"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "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>Graph</th>\n",
+       "      <th>Number of Nodes</th>\n",
+       "      <th>Number of Edges</th>\n",
+       "      <th>Average Degree</th>\n",
+       "      <th>Average Clustering Coefficient</th>\n",
+       "      <th>log N</th>\n",
+       "      <th>Average Shortest Path Length</th>\n",
+       "      <th>betweenness centrality</th>\n",
+       "      <th>omega-coefficient</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>Brightkite Checkins Graph</td>\n",
+       "      <td>6493</td>\n",
+       "      <td>292973</td>\n",
+       "      <td>90.242723</td>\n",
+       "      <td>0.713999</td>\n",
+       "      <td>8.778480</td>\n",
+       "      <td>3.013369</td>\n",
+       "      <td>0.000534</td>\n",
+       "      <td>-0.180</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>Gowalla Checkins Graph</td>\n",
+       "      <td>3073</td>\n",
+       "      <td>62790</td>\n",
+       "      <td>40.865604</td>\n",
+       "      <td>0.548372</td>\n",
+       "      <td>8.030410</td>\n",
+       "      <td>3.508031</td>\n",
+       "      <td>0.001277</td>\n",
+       "      <td>-0.240</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>Foursquare Checkins Graph</td>\n",
+       "      <td>2324</td>\n",
+       "      <td>246702</td>\n",
+       "      <td>212.30809</td>\n",
+       "      <td>0.65273</td>\n",
+       "      <td>7.751045</td>\n",
+       "      <td>2.186112</td>\n",
+       "      <td>0.000938</td>\n",
+       "      <td>-0.056</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>Brightkite Friendship Graph</td>\n",
+       "      <td>5420</td>\n",
+       "      <td>14690</td>\n",
+       "      <td>5.420664</td>\n",
+       "      <td>0.218571</td>\n",
+       "      <td>8.597851</td>\n",
+       "      <td>5.231807</td>\n",
+       "      <td>0.000664</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>(Filtered) Gowalla Friendship Graph</td>\n",
+       "      <td>2294</td>\n",
+       "      <td>5548</td>\n",
+       "      <td>4.836966</td>\n",
+       "      <td>0.234293</td>\n",
+       "      <td>7.738052</td>\n",
+       "      <td>5.396488</td>\n",
+       "      <td>0.001331</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>5</th>\n",
+       "      <td>Foursquare Friendship Graph</td>\n",
+       "      <td>1397</td>\n",
+       "      <td>5323</td>\n",
+       "      <td>7.620616</td>\n",
+       "      <td>0.183485</td>\n",
+       "      <td>7.242082</td>\n",
+       "      <td>6.45841</td>\n",
+       "      <td>0.001531</td>\n",
+       "      <td>NaN</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                                 Graph Number of Nodes Number of Edges  \\\n",
+       "0            Brightkite Checkins Graph            6493          292973   \n",
+       "1               Gowalla Checkins Graph            3073           62790   \n",
+       "2            Foursquare Checkins Graph            2324          246702   \n",
+       "3          Brightkite Friendship Graph            5420           14690   \n",
+       "4  (Filtered) Gowalla Friendship Graph            2294            5548   \n",
+       "5          Foursquare Friendship Graph            1397            5323   \n",
+       "\n",
+       "  Average Degree Average Clustering Coefficient     log N  \\\n",
+       "0      90.242723                       0.713999  8.778480   \n",
+       "1      40.865604                       0.548372  8.030410   \n",
+       "2      212.30809                        0.65273  7.751045   \n",
+       "3       5.420664                       0.218571  8.597851   \n",
+       "4       4.836966                       0.234293  7.738052   \n",
+       "5       7.620616                       0.183485  7.242082   \n",
+       "\n",
+       "  Average Shortest Path Length betweenness centrality  omega-coefficient  \n",
+       "0                     3.013369               0.000534             -0.180  \n",
+       "1                     3.508031               0.001277             -0.240  \n",
+       "2                     2.186112               0.000938             -0.056  \n",
+       "3                     5.231807               0.000664                NaN  \n",
+       "4                     5.396488               0.001331                NaN  \n",
+       "5                      6.45841               0.001531                NaN  "
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Foursquare Checkins Graph : -0.056\n",
+    "# Gowalla Checkins Graph : -0.24\n",
+    "# Brightkite Checkins Graph : -0.18\n",
+    "\n",
+    "# add omega-coefficient to the respective graphs\n",
+    "analysis_results.loc[analysis_results['Graph'] == 'Foursquare Checkins Graph', 'omega-coefficient'] = -0.056\n",
+    "analysis_results.loc[analysis_results['Graph'] == 'Gowalla Checkins Graph', 'omega-coefficient'] = -0.24\n",
+    "analysis_results.loc[analysis_results['Graph'] == 'Brightkite Checkins Graph', 'omega-coefficient'] = -0.18\n",
+    "analysis_results"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# rename (Filtered) Gowalla Friendship Graph in Gowalla Friendship Graph\n",
+    "analysis_results.loc[analysis_results['Graph'] == '(Filtered) Gowalla Friendship Graph', 'Graph'] = 'Gowalla Friendship Graph'"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# FourSquare Friendship Graph : -0.17\n",
+    "# Gowalla Friendship Graph : -0.25\n",
+    "# Brightkite Friendship Graph : -0.20\n",
+    "\n",
+    "# add omega-coefficient to the respective graphs\n",
+    "analysis_results.loc[analysis_results['Graph'] == 'Foursquare Friendship Graph', 'omega-coefficient'] = -0.17\n",
+    "analysis_results.loc[analysis_results['Graph'] == 'Gowalla Friendship Graph', 'omega-coefficient'] = -0.25\n",
+    "analysis_results.loc[analysis_results['Graph'] == 'Brightkite Friendship Graph', 'omega-coefficient'] = -0.20"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "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>Graph</th>\n",
+       "      <th>Number of Nodes</th>\n",
+       "      <th>Number of Edges</th>\n",
+       "      <th>Average Degree</th>\n",
+       "      <th>Average Clustering Coefficient</th>\n",
+       "      <th>log N</th>\n",
+       "      <th>Average Shortest Path Length</th>\n",
+       "      <th>betweenness centrality</th>\n",
+       "      <th>omega-coefficient</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>Brightkite Checkins Graph</td>\n",
+       "      <td>6493</td>\n",
+       "      <td>292973</td>\n",
+       "      <td>90.242723</td>\n",
+       "      <td>0.713999</td>\n",
+       "      <td>8.778480</td>\n",
+       "      <td>3.013369</td>\n",
+       "      <td>0.000534</td>\n",
+       "      <td>-0.180</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>Gowalla Checkins Graph</td>\n",
+       "      <td>3073</td>\n",
+       "      <td>62790</td>\n",
+       "      <td>40.865604</td>\n",
+       "      <td>0.548372</td>\n",
+       "      <td>8.030410</td>\n",
+       "      <td>3.508031</td>\n",
+       "      <td>0.001277</td>\n",
+       "      <td>-0.240</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>Foursquare Checkins Graph</td>\n",
+       "      <td>2324</td>\n",
+       "      <td>246702</td>\n",
+       "      <td>212.30809</td>\n",
+       "      <td>0.65273</td>\n",
+       "      <td>7.751045</td>\n",
+       "      <td>2.186112</td>\n",
+       "      <td>0.000938</td>\n",
+       "      <td>-0.056</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>Brightkite Friendship Graph</td>\n",
+       "      <td>5420</td>\n",
+       "      <td>14690</td>\n",
+       "      <td>5.420664</td>\n",
+       "      <td>0.218571</td>\n",
+       "      <td>8.597851</td>\n",
+       "      <td>5.231807</td>\n",
+       "      <td>0.000664</td>\n",
+       "      <td>-0.200</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>Gowalla Friendship Graph</td>\n",
+       "      <td>2294</td>\n",
+       "      <td>5548</td>\n",
+       "      <td>4.836966</td>\n",
+       "      <td>0.234293</td>\n",
+       "      <td>7.738052</td>\n",
+       "      <td>5.396488</td>\n",
+       "      <td>0.001331</td>\n",
+       "      <td>-0.250</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>5</th>\n",
+       "      <td>Foursquare Friendship Graph</td>\n",
+       "      <td>1397</td>\n",
+       "      <td>5323</td>\n",
+       "      <td>7.620616</td>\n",
+       "      <td>0.183485</td>\n",
+       "      <td>7.242082</td>\n",
+       "      <td>6.45841</td>\n",
+       "      <td>0.001531</td>\n",
+       "      <td>-0.170</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                         Graph Number of Nodes Number of Edges Average Degree  \\\n",
+       "0    Brightkite Checkins Graph            6493          292973      90.242723   \n",
+       "1       Gowalla Checkins Graph            3073           62790      40.865604   \n",
+       "2    Foursquare Checkins Graph            2324          246702      212.30809   \n",
+       "3  Brightkite Friendship Graph            5420           14690       5.420664   \n",
+       "4     Gowalla Friendship Graph            2294            5548       4.836966   \n",
+       "5  Foursquare Friendship Graph            1397            5323       7.620616   \n",
+       "\n",
+       "  Average Clustering Coefficient     log N Average Shortest Path Length  \\\n",
+       "0                       0.713999  8.778480                     3.013369   \n",
+       "1                       0.548372  8.030410                     3.508031   \n",
+       "2                        0.65273  7.751045                     2.186112   \n",
+       "3                       0.218571  8.597851                     5.231807   \n",
+       "4                       0.234293  7.738052                     5.396488   \n",
+       "5                       0.183485  7.242082                      6.45841   \n",
+       "\n",
+       "  betweenness centrality  omega-coefficient  \n",
+       "0               0.000534             -0.180  \n",
+       "1               0.001277             -0.240  \n",
+       "2               0.000938             -0.056  \n",
+       "3               0.000664             -0.200  \n",
+       "4               0.001331             -0.250  \n",
+       "5               0.001531             -0.170  "
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "analysis_results\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# save the results into a pickle file\n",
+    "analysis_results.to_pickle('analysis_results.pkl')"
+   ]
   }
  ],
  "metadata": {
@@ -46,7 +832,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.9"
+   "version": "3.10.9 (main, Dec 19 2022, 17:35:49) [GCC 12.2.0]"
   },
   "orig_nbformat": 4,
   "vscode": {