{ "cells": [ { "cell_type": "markdown", "id": "233b338f", "metadata": {}, "source": [ "# Community Detection\n", "\n", "Communities, alternatively referred to as clusters or modules, are groups of vertices that most likely share similar attributes and/or perform similar functions in the graph. These are tightly connected clusters of nodes that are only loosely connected to other clusters. In this chapter, we will discuss different clustering and community detection techniques. \n" ] }, { "cell_type": "markdown", "id": "06624184", "metadata": {}, "source": [ "## Applying Standard Clustering Methods\n", "\n", "**Hierarchical (agglomerative) clustering** of a social-network graph starts by combining some two nodes that are connected by an edge. Successively, edges that are not between two nodes of the same cluster would be chosen randomly to combine the clusters to which their two nodes belong. The choices would be random, because all distances represented by an edge are the same.\n", "\n", "In **k-means (point assignment) approach** we will pick k starting nodes at random. Then assign each node to the cluster with the shortest average distance to all the nodes of the cluster. If we pick two starting nodes at random, they might both be in the same cluster. We can start with one randomly chosen node and then pick another as far away as\n", "possible, or we could pick any pair of nodes not connected by an edge. \n", "\n", "To illustrate these clustering methods, we will use a benchmark network, the karate club graph. " ] }, { "cell_type": "markdown", "id": "c660aefc", "metadata": {}, "source": [ "### Example 1" ] }, { "cell_type": "code", "execution_count": 1, "id": "fd033de1", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:51.653587Z", "start_time": "2022-04-01T13:39:47.990058Z" } }, "outputs": [], "source": [ "import warnings\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import networkx as nx\n", "from sklearn import cluster\n", "import matplotlib.pyplot as plt\n", "from sklearn.cluster import KMeans\n", "from sklearn.metrics.cluster import adjusted_rand_score\n", "from sklearn.metrics.cluster import normalized_mutual_info_score\n", "\n", "from alis.network_tools.plots import graph_to_edge_matrix, draw_communities\n", "\n", "warnings.filterwarnings('ignore')\n", "\n", "G = nx.karate_club_graph()\n", "pos = nx.spring_layout(G)" ] }, { "cell_type": "markdown", "id": "0eeb07ed", "metadata": {}, "source": [ "Here, we convert the graph to its adjacency matrix." ] }, { "cell_type": "code", "execution_count": 2, "id": "b2ce0597", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:51.657940Z", "start_time": "2022-04-01T13:39:51.654765Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[0, 1, 1, ..., 1, 0, 0],\n", " [1, 0, 1, ..., 0, 0, 0],\n", " [1, 1, 0, ..., 0, 1, 0],\n", " ...,\n", " [1, 0, 0, ..., 0, 1, 1],\n", " [0, 0, 1, ..., 1, 0, 1],\n", " [0, 0, 0, ..., 1, 1, 0]])" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "edge_mat = graph_to_edge_matrix(G)\n", "edge_mat" ] }, { "cell_type": "markdown", "id": "80f6de51", "metadata": {}, "source": [ "We determine the cluster labels of each node through k-means and agglomerative clustering techniques." ] }, { "cell_type": "code", "execution_count": 3, "id": "e384e93c", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:51.787722Z", "start_time": "2022-04-01T13:39:51.658765Z" } }, "outputs": [], "source": [ "k_clusters = 2\n", "results = []\n", "algorithms = {}\n", "\n", "algorithms['agglom'] = cluster.AgglomerativeClustering(n_clusters=k_clusters, linkage=\"ward\")\n", "algorithms['kmeans'] = cluster.KMeans(n_clusters=k_clusters, n_init=200)\n", "\n", "for model in algorithms.values():\n", " model.fit(edge_mat)\n", " results.append(list(model.labels_))" ] }, { "cell_type": "code", "execution_count": 4, "id": "7ffa48b0", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:51.794770Z", "start_time": "2022-04-01T13:39:51.789297Z" } }, "outputs": [], "source": [ "nmi_results = []\n", "ars_results = []\n", "# True labels of the group each student (node) unded up in. Found via the original paper\n", "y_true = [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", "y_true_val = list(y_true)\n", "\n", "# Append the results into lists\n", "for y_pred in results:\n", " nmi_results.append(normalized_mutual_info_score(y_true_val, y_pred))\n", " ars_results.append(adjusted_rand_score(y_true_val, y_pred))" ] }, { "cell_type": "markdown", "id": "4ff8b11c", "metadata": {}, "source": [ "To visualize the result, we show here the detected communities." ] }, { "cell_type": "code", "execution_count": 5, "id": "8982f6d5", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:51.884123Z", "start_time": "2022-04-01T13:39:51.795378Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n", "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_communities(G, algorithms['agglom'].labels_, pos);" ] }, { "cell_type": "code", "execution_count": 6, "id": "ceb8f5d3", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:51.950295Z", "start_time": "2022-04-01T13:39:51.884943Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n", "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "draw_communities(G, algorithms['kmeans'].labels_, pos)" ] }, { "cell_type": "markdown", "id": "10baef99", "metadata": {}, "source": [ "#### Limitations \n", "\n", "1. The number of clusters/ communities should be known beforehand.\n", "2. The time complexity of a naive agglomerative clustering is $\\mathcal {O}(n^{3})$ because we exhaustively scan the $N x N$ matrix dist_mat for the lowest distance in each of $N-1$ iterations. Using priority queue data structure we can reduce this complexity to $\\mathcal {O}(n^{2}\\log{n})$. By using some more optimizations it can be brought down to $\\mathcal {O}(n^{2})$. For k-means, the average complexity is given by O(k n T), where n is the number of samples and T is the number of iteration. " ] }, { "cell_type": "markdown", "id": "8bafc5d5", "metadata": {}, "source": [ "## Girvan-Newman Algorithm\n", "\n", "The Girvan–Newman algorithm identifies communities by gradually removing edges from the original network. The communities are the connected components of the network. The Girvan–Newman algorithm focuses on the fact that the edge with the highest betweenness centrality are more probable to be \"between\" communities.\n", "\n", "The Girvan-Newman Algorithm is as follows:\n", "\n", "1. Calculate the betweenness for all edges in the network.\n", "2. Remove the edge with the highest betweeness.\n", "3. Recalculate betweeness for all edges affected by the removal.\n", "4. Repeat from step 2 until the desired number of clusters was obtained.\n", "\n", "We will again use the karate club graph for this example. " ] }, { "cell_type": "markdown", "id": "ed73f899", "metadata": {}, "source": [ "### Example 2" ] }, { "cell_type": "code", "execution_count": 7, "id": "4682ec18", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:51.981498Z", "start_time": "2022-04-01T13:39:51.951517Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "([0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21], [2, 8, 9, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33])\n", "([0, 1, 3, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 19, 21], [2, 8, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33], [9])\n" ] } ], "source": [ "from networkx.algorithms.community import girvan_newman\n", "import itertools\n", "\n", "k = 2\n", "com = []\n", "comp = girvan_newman(G)\n", "for communities in itertools.islice(comp, k):\n", " com = communities\n", " print(tuple(sorted(c) for c in communities))\n", " " ] }, { "cell_type": "markdown", "id": "3ec39a8d", "metadata": {}, "source": [ "The output of the Girvan-Newman are the list nodes belonging to each cluster. We can also visualize the result below. " ] }, { "cell_type": "code", "execution_count": 8, "id": "c6b8f309", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:52.056340Z", "start_time": "2022-04-01T13:39:51.982418Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n", "*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# True labels of the group each student (node) unded up in. Found via the original paper\n", "y_pred = np.zeros(G.number_of_nodes())\n", "\n", "for i in range(k):\n", " if i == 0:\n", " for j in com[i]:\n", " y_pred[j] = 0\n", " elif i == 1:\n", " for j in com[i]:\n", " y_pred[j] = 1\n", " \n", "y_true = [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n", "\n", "draw_communities(G, y_pred, pos)" ] }, { "cell_type": "code", "execution_count": 9, "id": "a4e8f275", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:52.059722Z", "start_time": "2022-04-01T13:39:52.057230Z" } }, "outputs": [ { "data": { "text/plain": [ "2.0" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dif = np.sum(np.abs(y_pred-y_true))\n", "dif" ] }, { "cell_type": "markdown", "id": "c3448134", "metadata": {}, "source": [ "Note that two nodes at the boundary of the communities were incorrectly labeled." ] }, { "cell_type": "markdown", "id": "db4c0bb9", "metadata": {}, "source": [ "#### Limitations\n", "\n", "1. Time to calculate the betweenness for all m edges in a graph of n nodes is $\\mathcal {O}(mn)$. Since this calculation has to be repeated once for the removal of each edge, the entire algorithm runs in worst-case time $\\mathcal {O}(m^{2}n)$.\n", "2. Cannot place individuals in two different communities.\n", "3. Everyone is assigned to a community." ] }, { "cell_type": "markdown", "id": "8c9839e1", "metadata": {}, "source": [ "## Direct Discovery of Communities\n", "\n", "In this section, we shall discuss a technique for discovering communities directly by looking for subsets of the nodes that have a relatively large number of edges among them. Interestingly, the technique for doing this search on a large graph involves finding large frequent itemsets.\n", "\n", "### Finding Cliques\n", "\n", "We could find sets of nodes with many edges between them by finding a large clique (a set of nodes with edges between any two of them). However, that task is not easy. Finding the largest clique in a graph is NP-complete problem, so most of these algorithms have an exponential running time. \n" ] }, { "cell_type": "markdown", "id": "3132f3d5", "metadata": {}, "source": [ "### Example 3\n", "\n", "The code below lists all cliques in the given graph. Shown in {numref}`cliques` are some of the detected cliques by the algorithm." ] }, { "cell_type": "code", "execution_count": 10, "id": "6695ebc4", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:52.064438Z", "start_time": "2022-04-01T13:39:52.062051Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0, 1, 17], [0, 1, 2, 3, 13], [0, 1, 2, 3, 7], [0, 1, 19], [0, 1, 21], [0, 4, 10], [0, 4, 6], [0, 5, 10], [0, 5, 6], [0, 8, 2], [0, 11], [0, 12, 3], [0, 31], [1, 30], [2, 32, 8], [2, 9], [2, 27], [2, 28], [5, 16, 6], [33, 32, 8, 30], [33, 32, 14], [33, 32, 15], [33, 32, 18], [33, 32, 20], [33, 32, 22], [33, 32, 23, 29], [33, 32, 31], [33, 9], [33, 13], [33, 19], [33, 26, 29], [33, 27, 23], [33, 28, 31], [24, 25, 31], [24, 27], [25, 23]]\n" ] } ], "source": [ "cliques = list(nx.algorithms.clique.find_cliques(G))\n", "print (cliques)" ] }, { "cell_type": "markdown", "id": "db22c399", "metadata": {}, "source": [ "```{figure} ./images/cliques.png\n", ":name: cliques\n", ":width: 300px\n", "\n", "Sample cliques in the karate club graph\n", "```\n" ] }, { "cell_type": "markdown", "id": "6716f35c", "metadata": {}, "source": [ "## Partitioning of Graphs\n", "\n", "In this section, we examine another approach to organizing social-network graphs. We use some important tools from matrix theory (“spectral methods”) to formulate the problem of partitioning a graph to minimize the number of edges that connect different components. \n", "\n", "### Normalized Cut\n", "\n", "Given a graph, we would like to divide the nodes into two sets so that the cut, or set of edges that connect nodes in different sets is minimized. However, we also want to constrain the selection of the cut so that the two sets are approximatelyequal in size. \n", "\n", "```{figure} ./images/normcut.png\n", ":name: normcut\n", ":width: 300px\n", "\n", "What is a \"good\" cut?\n", "```\n", "\n", "A proper definition of a “good” cut must balance the size of the cut itself against the difference in the sizes of the sets that the cut creates. One choice that serves well is the “normalized cut.” First, define the volume of a set S of nodes, denoted $Vol(S)$, to be the number of edges with at least one end in S. Suppose we partition the nodes of a graph into two disjoint sets S and T . Let $Cut(S, T)$ be the number of edges that connect a node in S to a node in T.\n", "Then the normalized cut value for S and T is \n", "\n", "
$\\frac{Cut(S,T)}{Vol(S)}+\\frac{Cut(S,T)}{Vol(T)}$
\n", "\n", "A small value of normalized cut signifies a \"good\" partition.\n" ] }, { "cell_type": "markdown", "id": "5c765f57", "metadata": {}, "source": [ "### Example 4" ] }, { "cell_type": "markdown", "id": "3610391a", "metadata": {}, "source": [ "Consider {numref}`normcut`.If we choose the smallest cut, S = {b} and T = {a, c, d, e, f, g}, this will give us $Cut(S, T)$ = 1 and $Vol(S)$ = 1 because there is only one edge connected to b. $Vol(T)$ = 9 because all of the edges have at least one end at a node of set T. The normalized cut for this partition is 1/1 + 1/9 = 1.11.\n", "\n", "For the preferred cut which consist of the edges (a,d) and (c,f), S = {a, b, c} and T = {d, e, f, g}. $Cut(S, T)$ = 2, $Vol(S)$ = 4 and $Vol(T)$ = 7. Then, the normalized cut is 2/4 + 2/7 = 0.79. " ] }, { "cell_type": "markdown", "id": "e5c9a6e9", "metadata": {}, "source": [ "### Spectral Methods\n", "\n", "We can get a good idea of the best way to partition a graph from the eigenvalues and eigenvectors of its Laplacian matrix. The Laplacian L has several advantageous mathematical features. L is symmetric and contains only elements with real values. As a result, it possesses real eigenvalues and orthogonal eigenvectors with real entries. Additionally, L is positive semidefinite, which means that its eigenvalues are not negative. The second eigenvalue is denoted by the Fiedler value, and the associated vector is denoted by the Fiedler vector. These contain information on the graph's topology. The Fiedler value approximates the smallest graph cut necessary to partition the graph into two connected components. Here, nodes are classified into two clusters based on whether their associated Fiedler vector entry is greater than or less than the specified threshold r. Thus, the value of r has an effect on the quality of clusters. 0 and the median value of the Fiedler vector are often used values for r. Each value in the Fiedler vector denotes which side of the cut the node is located on. " ] }, { "cell_type": "markdown", "id": "0d4e49fd", "metadata": {}, "source": [ "### Example 5" ] }, { "cell_type": "markdown", "id": "41938909", "metadata": {}, "source": [ "Here, we again use the adjacency matrix of the karate club graph. We also determine the degree matrix, which is just the diagonal of the edge matrix. Then, we calculate the Laplacian matrix which is the difference of the degree and the adjacency matrix. Next, determine the eigenvalues and eigenvectors of the Laplacian matrix. \n", "In the given example below, the negative eigenvectors correspond to cluster 0 and the positive values correspond to cluster 1. " ] }, { "cell_type": "code", "execution_count": 11, "id": "23c3ad75", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:52.071962Z", "start_time": "2022-04-01T13:39:52.065833Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.11213743 0.04128789 -0.02321896 0.05549978 0.28460453 0.32372722\n", " 0.32372722 0.052586 -0.05160128 -0.09280089 0.28460453 0.21099295\n", " 0.1094613 0.01474197 -0.16275078 -0.16275078 0.42276533 0.10018142\n", " -0.16275078 0.01363713 -0.16275078 0.10018142 -0.16275078 -0.15569457\n", " -0.15302558 -0.16096292 -0.18710956 -0.12766405 -0.0951523 -0.16765031\n", " -0.07349964 -0.09875343 -0.13034546 -0.11890326]\n", "[1. 1. 0. 1. 1. 1. 1. 1. 0. 0. 1. 1. 1. 1. 0. 0. 1. 1. 0. 1. 0. 1. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n" ] } ], "source": [ "# Adjacency matrix\n", "A = edge_mat\n", "\n", "# Degree matrix\n", "D = np.diag(A.sum(axis=1))\n", "\n", "# Laplacian matrix\n", "L = D-A\n", "\n", "# find eigenvalues and eigenvectors\n", "vals, vecs = np.linalg.eig(L)\n", "\n", "vecs = vecs[:,np.argsort(vals)]\n", "vals = vals[np.argsort(vals)]\n", "\n", "clus = np.zeros(len(vecs[:,1]))\n", "\n", "for i in range(len(vecs[:,1])):\n", " if vecs[i,1] > 0:\n", " clus[i] = 1\n", " else:\n", " clus[i] = 0\n", "\n", "print (vecs[:,1])\n", "print (clus)" ] }, { "cell_type": "markdown", "id": "ee4442e3", "metadata": {}, "source": [ "## Finding Overlapping Communities\n", "\n", "In social networks, it is possible that one person is a member of two or more communities. In this section, we will discuss an algorithm on finding overlapping communities. Given a social graph, we expect edges to be denser in the intersection of communities as illustrated in {numref}`club`. \n", "\n", "```{figure} ./images/club.png\n", ":name: club\n", ":width: 400px\n", "\n", "The overlap of two communities is denser than the nonoverlapping parts of these communities.\n", "```\n", "\n", "One algorithm on finding overlapping communities take advantage of this information. Here, the nodes are ordered according to some criterion, for example decreasing Page Rank, and then processed sequentially according to this ordering. A node is added to any cluster if adding it improves the cluster density. If the node is not added to any cluster, it creates a new cluster. Note that every node is in at least one cluster. Clusters that are too small to be relevant to the particular application can be dropped. {cite:ps}`baumes2005efficient`" ] }, { "cell_type": "code", "execution_count": 12, "id": "2324dfe2", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:52.180767Z", "start_time": "2022-04-01T13:39:52.072790Z" } }, "outputs": [], "source": [ "from alis.network_tools.clustering import LA, IS2\n", "\n", "clust = LA(G)\n", "final_clusters = []\n", " # Run the second part of algorithm\n", "for clustr in clust:\n", " final_clusters.append(IS2(clustr, G))\n", " # Remove duplicate cluster\n", "final_without_duplicates = []\n", "for fc in final_clusters:\n", " fc = sorted (fc)\n", " if fc not in final_without_duplicates:\n", " final_without_duplicates.append(fc)" ] }, { "cell_type": "code", "execution_count": 13, "id": "3f63719c", "metadata": { "ExecuteTime": { "end_time": "2022-04-01T13:39:52.184570Z", "start_time": "2022-04-01T13:39:52.181842Z" }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[[0, 1, 2, 3, 7, 8, 13, 19, 23, 27, 28, 29, 30, 31, 32, 33],\n", " [0, 1, 2, 3, 7, 13],\n", " [0, 4, 5, 6, 10, 16],\n", " [0, 1, 2, 3, 7, 8, 13, 19, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33],\n", " [0, 1, 2, 3, 7, 8, 13, 19, 28, 30, 31, 32, 33]]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "final_without_duplicates" ] }, { "cell_type": "markdown", "id": "02574199", "metadata": {}, "source": [ "{numref}`overlapcom` shows some of the overlapping communities detected." ] }, { "cell_type": "markdown", "id": "49cdb9d5", "metadata": {}, "source": [ "```{figure} ./images/overlapcom.png\n", ":name: overlapcom\n", ":width: 600px\n", "\n", "Sample overlapping communities in the karate club graph\n", "```" ] }, { "cell_type": "markdown", "id": "8f275182", "metadata": {}, "source": [ "## Summary\n", "\n", "We discussed different methods on community detection in social network graphs. Standard clustering methods, such as hierarchical (agglomerative) and point assignment (k-means) approaches, for community detection were then explored. Direct discovery of communities through finding cliques, partitioning of graphs through spectral methods and finding overlapping communities were also discussed. The methods presented here may be applied not just to social networks but to other kind of networks as well, such as biological, technological and ecological networks. " ] }, { "cell_type": "markdown", "id": "fbae6dde", "metadata": {}, "source": [ "## Exercise" ] }, { "cell_type": "markdown", "id": "f1b767c8", "metadata": {}, "source": [ "```{figure} ./images/exercise3.png\n", ":name: exercise3\n", ":width: 400px\n", "\n", "Sample graph\n", "```\n", "\n", "1. Determine the \"best\" cut for the given graph in {numref}`exercise3` by calculating the normalized cut. \n", "\n", "2. Apply partitioning by spectral analysis to the graph in {numref}`exercise3`. Determine the adjacency matrix, Laplacian matrix, the second eigenvector and cluster labels. \n" ] } ], "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": "3.8.12" } }, "nbformat": 4, "nbformat_minor": 5 }