From d14abcc7b82bc1faa9ee1d3b88725c0961a2af31 Mon Sep 17 00:00:00 2001 From: Ziaeemehr Date: Mon, 5 Aug 2024 16:14:20 +0200 Subject: [PATCH] chap 3 modified. --- examples/chap_03.ipynb | 38 +++++++++++++++++++------------------- 1 file changed, 19 insertions(+), 19 deletions(-) diff --git a/examples/chap_03.ipynb b/examples/chap_03.ipynb index fbabdc3..932aa61 100644 --- a/examples/chap_03.ipynb +++ b/examples/chap_03.ipynb @@ -306,62 +306,63 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "dict_keys(['cit-HepPh', 'web-Stanford'])" + "dict_keys(['Actor', 'Collaboration', 'Internet', 'PowerGrid', 'Protein', 'PhoneCalls', 'Citation', 'Metabolic', 'Email', 'WWW'])" ] }, - "execution_count": 3, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "from netsci.utils import load_sample_graph, show_sample_graphs\n", + "from netsci.utils import load_sample_graph, list_sample_graphs\n", "from netsci.analysis import graph_info\n", "\n", - "graphs = show_sample_graphs()\n", + "graphs = list_sample_graphs()\n", "graphs.keys()" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Successfully loaded cit-HepPh\n", + "The graph is directed.\n", + "Successfully loaded Collaboration\n", "================================\n", - "Paper citation network of Arxiv High Energy Physics category\n", + "Scientific collaboration network based on the arXiv preprint archive's Condense Matter Physics category covering the period from January 1993 to April 2003. Each node represents an author, and two nodes are connected if they co-authored at least one paper in the dataset. Ref: Leskovec, J., Kleinberg, J., & Faloutsos, C. (2007). Graph evolution: Densification and shrinking diameters. ACM Transactions on Knowledge Discovery from Data (TKDD), 1(1), 2.\n", "Graph information\n", "Directed : True\n", - "Number of nodes : 34546\n", - "Number of edges : 421578\n", - "Average degree : 24.4068\n", + "Number of nodes : 23133\n", + "Number of edges : 93439\n", + "Average degree : 8.0784\n", "Connectivity : disconnected\n" ] } ], "source": [ - "G_hp = load_sample_graph('cit-HepPh')\n", - "graph_info(G_hp)" + "G_collab = load_sample_graph('Collaboration', verbose=True)\n", + "graph_info(G_collab)" ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -374,7 +375,7 @@ "# plot pk versus k \n", "\n", "from collections import Counter\n", - "degrees = [G_hp.degree(n) for n in G_hp.nodes()]\n", + "degrees = [G_collab.degree(n) for n in G_collab.nodes()]\n", "degree_count = Counter(degrees)\n", "k, pk = zip(*degree_count.items())\n", "k = np.array(k)\n", @@ -386,13 +387,12 @@ "plt.ylabel(\"pk\");\n", "\n", "# add poisson distribution to graph\n", - "\n", "from scipy.stats import poisson\n", "\n", "k = np.arange(0, max(degrees)+1)\n", "pk_poisson = poisson.pmf(k, np.mean(degrees))\n", "plt.loglog(k, pk_poisson, 'r', label='poisson')\n", - "plt.ylim([1e-5, 1e-1])\n", + "plt.ylim([1e-5, 1])\n", "plt.legend(frameon=False);\n" ] }, @@ -511,7 +511,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.9" + "version": "3.8.18" } }, "nbformat": 4,