diff --git a/2022-round-1/29riyasaxena/nx_notebook.ipynb b/2022-round-1/29riyasaxena/nx_notebook.ipynb new file mode 100644 index 0000000..23e2dd9 --- /dev/null +++ b/2022-round-1/29riyasaxena/nx_notebook.ipynb @@ -0,0 +1,243 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#import libraries\n", + "import networkx as nx\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Erdos-Renyi graph" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'A random erdos-renyi graph with 100 nodes and a edge probability of 0.3')" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# a random erdos-renyi graph with 100 nodes and a edge probability of 0.3\n", + "graph = nx.erdos_renyi_graph(100, 0.3, seed=None, directed=False)\n", + "nx.draw(graph)\n", + "plt.title(\"A random erdos-renyi graph with 100 nodes and a edge probability of 0.3\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#plotting the degree_centrality distribution (a histogram of the degree centrality values)\n", + "graph_deg_cent = nx.degree_centrality(graph)\n", + "plt.hist(list(graph_deg_cent.values()))\n", + "plt.title('Degree Centrality of an erdos renyi graph with p = 0.3')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'A random erdos-renyi graph with 100 nodes and a edge probability of 0.3')" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Changing the edge probability of the erdos-reyni graph to 0.6 \n", + "graph2 = nx.erdos_renyi_graph(100, 0.6, seed=None, directed=False)\n", + "nx.draw(graph2)\n", + "plt.title(\"A random erdos-renyi graph with 100 nodes and a edge probability of 0.3\")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#plotting the degree centrality distribution again\n", + "graph2_deg_cent = nx.degree_centrality(graph2)\n", + "plt.hist(list(graph2_deg_cent.values()))\n", + "plt.title('Degree Centrality of an erdos renyi graph with p = 0.6')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Infering the changes in the plots\n", + "From the above histograms, it can be conculded that the difference between them is due to different edge probabilities. The frequency of the first histogram(edge probability = 0.3) looks higher than that of the second histogram (edge probability = 0.6) because the higher edge probability, the more likely it is to include graph with more edges and the less likely it is to include graph with fewer edges." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Barabasi Albert Graph" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'A random barabasi_albert_graph with 100 nodes and attached 3 edges to a new node in the graph (m=3)')" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# A random barabasi_albert_graph with 100 nodes and attached 3 edges to a new node in the graph (m=3)\n", + "graph3 = nx.barabasi_albert_graph(100, 3, seed=None, initial_graph=None)\n", + "nx.draw(graph3)\n", + "plt.title(\"A random barabasi_albert_graph with 100 nodes and attached 3 edges to a new node in the graph (m=3)\")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# plotting the degree_centrality distribution (a histogram of the degree histogram)\n", + "graph3_deg_cent = nx.degree_centrality(graph3)\n", + "plt.hist(list(graph3_deg_cent.values()))\n", + "plt.title('A random barabasi_albert_graph with 100 nodes and attached 3 edges to a new node')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inferring the changes in the plot of two different random graphs(Erdos-Renyi graph and Barabasi Albert Graph)\n", + "The Erdos Renyi Graph has more nodes which have a higher degree centrality value and no node will have much higher degree than any other because nodes are assigned and each pair is connected with probability while for the Barabasi Albert histogram there are only very few nodes with a high degree centrality value.That is, for Barabasi Albert graph, nodes are equally assigned but they are added one at a time. When a node is added it is connected to a small number of existing nodes with probability proportional to the degree of existing nodes as a result the earlier nodes tend to have a higher degree. This explains why the histogram here has a very few nodes with high degree centrality value " + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}