{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "ed4eb30d-9563-41e1-93a0-24565f8703d2", "metadata": {}, "outputs": [], "source": [ "import math\n", "import networkx as nx\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 9, "id": "f4d385dd-6c9a-4080-a9ad-57833914dd11", "metadata": {}, "outputs": [], "source": [ "def AnalyzeGraph(G, verbose=True):\n", " print(\"Analyzing the graph.\")\n", " print(f'There are {G.number_of_nodes()} nodes: {G.nodes() if verbose else \"--\"}')\n", " print(f'There are {G.number_of_edges()} edges: {G.edges() if verbose else \"--\"}')\n", " print(f'Density: {nx.density(G)}')\n", " #print(f'Average distance: {nx.average_shortest_path_length(G)}')" ] }, { "cell_type": "code", "execution_count": 3, "id": "c39fe815-88c6-4063-9743-5cc1113486d7", "metadata": {}, "outputs": [], "source": [ "def VisualizeGraph(G, sizex=8, sizey=8): \n", " nodes = list(G.nodes())\n", " pos = nx.forceatlas2_layout(G, max_iter=200,\n", " jitter_tolerance=0.7, scaling_ratio=2.0,\n", " gravity=1.0, distributed_action=False,\n", " strong_gravity=False, weight=None, linlog=False)\n", "\n", " node_sizes = [3 + 2 * math.log1p(G.degree(v)) for v in nodes]\n", " fig, ax = plt.subplots(figsize=(sizex, sizey))\n", "\n", " nx.draw_networkx_edges(G, pos, ax=ax, edge_color=\"#374151\", width=0.3, alpha=0.08)\n", " nx.draw_networkx_nodes(G, pos, ax=ax, nodelist=nodes, node_size=node_sizes, linewidths=0, alpha=0.9)\n", " plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "ceca8e6a-ff6e-4eb0-bf1c-aa12285684e4", "metadata": {}, "source": [ "# Grafo de cientistas" ] }, { "cell_type": "code", "execution_count": 4, "id": "da13c4fd-7201-48c7-b406-bb8a5b08f204", "metadata": {}, "outputs": [], "source": [ "G = nx.read_gexf('graph_scientists.gexf')" ] }, { "cell_type": "code", "execution_count": 10, "id": "d08c18af-ddb0-4d7e-bfc5-76a7245a3301", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Analyzing the graph.\n", "There are 707 nodes: --\n", "There are 4008 edges: --\n", "Density: 0.016059558201874418\n" ] } ], "source": [ "AnalyzeGraph(G, verbose=False)" ] }, { "cell_type": "code", "execution_count": 11, "id": "494a0bf4-f228-47f0-8be5-d6583b70d0e6", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "VisualizeGraph(G, 5, 5)" ] }, { "cell_type": "code", "execution_count": 16, "id": "6bf99cd9-7136-4447-9f68-000a2663e797", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Analyzing the graph.\n", "There are 335 nodes: --\n", "There are 3965 edges: --\n", "Density: 0.07087317901510412\n" ] } ], "source": [ "maior_componente = max(nx.connected_components(G), key=len)\n", "G2 = nx.subgraph(G, maior_componente)\n", "AnalyzeGraph(G2, verbose=False)" ] }, { "cell_type": "code", "execution_count": 17, "id": "9a86e6bb-9958-485e-b036-f4d6e66f6c2d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "VisualizeGraph(G2, 5, 5)" ] }, { "cell_type": "markdown", "id": "3475409c-747c-4b54-a0c0-bfccbd256f36", "metadata": {}, "source": [ "# Distribuição de graus" ] }, { "cell_type": "code", "execution_count": 19, "id": "66e38b85-5c54-4ca5-a9c9-9daab9f19280", "metadata": {}, "outputs": [], "source": [ "#nx.degree_histogram(G)" ] }, { "cell_type": "code", "execution_count": 21, "id": "ff00c929-27ba-4313-b922-6d546794596f", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "degree_counts = nx.degree_histogram(G)\n", "x = range(len(degree_counts))\n", "plt.loglog(x, degree_counts, 'o')\n", "plt.title(\"Degree Distribution\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "04ed8f2d-a297-4992-b7af-889a551de2f4", "metadata": {}, "source": [ "# Fecho triádico e clusterização" ] }, { "cell_type": "code", "execution_count": 22, "id": "23c03fda-f3e8-42e9-8964-cc1d23286b3b", "metadata": {}, "outputs": [], "source": [ "G = G2" ] }, { "cell_type": "code", "execution_count": 24, "id": "566d145e-9523-4a5d-a869-55c24850ab1d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.36923076923076925" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.clustering(G, 'Alan_Turing')" ] }, { "cell_type": "code", "execution_count": 25, "id": "975cf6c3-52d1-4fdb-a8a4-87a23bb8e1dc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5922803419235533" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.average_clustering(G)" ] }, { "cell_type": "code", "execution_count": 26, "id": "4f01378d-d2b4-4453-8c37-2907eb2ef7dd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7866514195236733" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nx.transitivity(G)" ] }, { "cell_type": "code", "execution_count": 30, "id": "93f9ce86-739b-4d51-9ccb-5626361c3ef8", "metadata": {}, "outputs": [], "source": [ "all_cc = nx.clustering(G)\n", "filtered_cc = [ all_cc[v] for v, degree in G.degree() if degree > 1 ] " ] }, { "cell_type": "code", "execution_count": 32, "id": "9dab1c9a-bf09-46f6-9593-be94a5e72020", "metadata": {}, "outputs": [], "source": [ "import statistics" ] }, { "cell_type": "code", "execution_count": 33, "id": "7d9786e1-f61b-4293-8724-4d214eb49f1a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7431232754471548" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "statistics.mean(filtered_cc)" ] }, { "cell_type": "markdown", "id": "8ab83d5f-022a-42c8-a127-6d939db3d070", "metadata": {}, "source": [ "# Redes com sinais" ] }, { "cell_type": "code", "execution_count": 36, "id": "a2b285b0-75a5-411b-b501-7e34ba1075ae", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Analyzing the graph.\n", "There are 219 nodes: --\n", "There are 520 edges: --\n", "Density: 0.02178375434627791\n" ] } ], "source": [ "G = nx.read_gexf('congress.gexf')\n", "AnalyzeGraph(G, verbose=False)" ] }, { "cell_type": "code", "execution_count": 38, "id": "02eacc27-e621-423f-b925-e3542ec06e72", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "AtlasView({'14': {'sign': -1, 'id': '0'}, '2': {'sign': 1, 'id': '1'}, '3': {'sign': -1, 'id': '2'}, '4': {'sign': -1, 'id': '3'}})" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "G.adj['1']" ] }, { "cell_type": "code", "execution_count": 40, "id": "f33b304c-6172-4490-9547-346d156c0956", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "VisualizeGraph(G, 5, 5)" ] }, { "cell_type": "code", "execution_count": 41, "id": "1b539208-56b9-404a-b930-f9f409b65b4b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "414\n", "106\n" ] } ], "source": [ "sum_plus = sum_minus = 0\n", "\n", "for u, v in G.edges():\n", " match G.edges[u, v]['sign']:\n", " case 1:\n", " sum_plus += 1\n", " case -1:\n", " sum_minus += 1\n", " case _:\n", " raise ValueError(\"Aaaaaaaaa!\")\n", "\n", "print(sum_plus)\n", "print(sum_minus)" ] }, { "cell_type": "code", "execution_count": 43, "id": "13de6777-e3c8-4edb-af30-4d85683f2f3c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.7961538461538461\n", "0.20384615384615384\n" ] } ], "source": [ "plus_fr = sum_plus / (sum_plus + sum_minus)\n", "print(plus_fr)\n", "minus_fr = sum_minus / (sum_plus + sum_minus)\n", "print(minus_fr)" ] }, { "cell_type": "code", "execution_count": 45, "id": "127249ac-34ca-4fbc-8359-d56797113123", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "219" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "triangles_per_node = nx.triangles(G)\n", "len(triangles_per_node)" ] }, { "cell_type": "code", "execution_count": 47, "id": "d30f2552-0114-435e-a620-79aa5d215ca9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "207.0" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_triangles = sum(triangles_per_node.values()) / 3\n", "n_triangles" ] }, { "cell_type": "code", "execution_count": 52, "id": "40da42d5-0b49-402d-9d58-b167f9115136", "metadata": {}, "outputs": [], "source": [ "tr_3p = tr_2p = tr_1p = tr_0p = 0\n", "\n", "for C in nx.enumerate_all_cliques(G):\n", " if len(C) == 3:\n", " u, v, w = C\n", " sum_signs = G.edges[u, v]['sign'] + G.edges[u, w]['sign'] + G.edges[v, w]['sign']\n", " match sum_signs:\n", " case 3:\n", " tr_3p += 1\n", " case 1:\n", " tr_2p += 1\n", " case -1:\n", " tr_1p += 1\n", " case -3:\n", " tr_0p += 1\n", " case _:\n", " raise ValueError(\"Houston, we have a problem.\")\n", " elif len(C) == 4: \n", " break" ] }, { "cell_type": "code", "execution_count": 54, "id": "659367d7-76b0-4fbd-a77e-fd3e714393b5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "207" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_triangles = tr_3p + tr_2p + tr_1p + tr_0p\n", "n_triangles" ] }, { "cell_type": "code", "execution_count": 60, "id": "9ce61daf-0c66-4089-a4aa-94196c0c1fe0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Stats: +++: 128, 0.6183574879227053\n", "Stats: ++-: 7, 0.033816425120772944\n", "Stats: +--: 72, 0.34782608695652173\n", "Stats: ---: 0, 0.0\n" ] } ], "source": [ "tr_3p_fr = tr_3p / n_triangles\n", "tr_2p_fr = tr_2p / n_triangles\n", "tr_1p_fr = tr_1p / n_triangles\n", "tr_0p_fr = tr_0p / n_triangles\n", "print(f\"Stats: +++: {tr_3p}, {tr_3p_fr}\")\n", "print(f\"Stats: ++-: {tr_2p}, {tr_2p_fr}\")\n", "print(f\"Stats: +--: {tr_1p}, {tr_1p_fr}\")\n", "print(f\"Stats: ---: {tr_0p}, {tr_0p_fr}\")" ] }, { "cell_type": "code", "execution_count": 61, "id": "f01bfc2b-9c15-447e-97dc-85e5c610c1ab", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5046508306781974" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# +++\n", "exp_tr_3p = plus_fr*plus_fr*plus_fr\n", "exp_tr_3p" ] }, { "cell_type": "code", "execution_count": 62, "id": "eb1837e4-02c9-4e99-a8db-aa53eb733195", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.38763034820209374" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# ++-\n", "exp_tr_2p = 3*plus_fr*plus_fr*minus_fr\n", "exp_tr_2p" ] }, { "cell_type": "code", "execution_count": 63, "id": "daa2b70c-ea50-4235-8926-fe3791c7d5f6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.09924835002275831" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# +--\n", "exp_tr_1p = 3*plus_fr*minus_fr*minus_fr\n", "exp_tr_1p" ] }, { "cell_type": "code", "execution_count": 64, "id": "c9ba1736-f6db-413e-9e8e-ae8a0af95677", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.008470471096950387" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# ---\n", "exp_tr_0p = minus_fr*minus_fr*minus_fr\n", "exp_tr_0p" ] }, { "cell_type": "code", "execution_count": 65, "id": "22bea0ab-72b8-4246-a48a-ce22934d1eb9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.75338751706873" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# ---\n", "n_triangles*exp_tr_0p" ] }, { "cell_type": "code", "execution_count": 68, "id": "38616987-20ae-41be-aa47-b230d3160430", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6.999999999999999" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_triangles*(tr_2p_fr + tr_0p_fr)" ] }, { "cell_type": "code", "execution_count": 69, "id": "1dcbe375-9e5b-43a2-b5fa-8d52572bd40a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "81.99286959490213" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "207*(exp_tr_2p + exp_tr_0p)" ] }, { "cell_type": "code", "execution_count": 71, "id": "83f1cbc8-058c-4030-8245-483bcb01f770", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.08537327739088206" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(tr_2p_fr + tr_0p_fr) / (exp_tr_2p + exp_tr_0p)" ] }, { "cell_type": "code", "execution_count": null, "id": "09a0af01-4feb-43a6-b624-70bc97933337", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 5 }