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RBGL: R interface to boost graph library

RBGL: R interface to boost graph library

a) Dijkstra's Exampleb)

a) Dijkstra's Exampleb) Transitive closureDCBEACAEBDFigure 12: a) The graph for Dijkstra’s example. b) The transitive closure of the graphin panel a)3.14 Wavefront, ProfilesTODO: EXPLAIN THESE TERMSThe following functions are available: ith.wavefront, maxWavefront, aver.wavefrontand rms.wavefront.> ss ith.wavefront(dijk, ss)$ith.wavefront[1] 3> maxWavefront(dijk)$maxWavefront[1] 4> aver.wavefront(dijk)$aver.wavefront[1] 2.6> rms.wavefront(dijk)$rms.wavefront[1] 2.792848TODO: EXPLAIN THESE RESULTS30

3.15 Betweenness Centrality and ClusteringBetweenness centrality of a vertex (or an edge) measures its importance in a graph, i.e.,among all the shortest paths between every pair of vertices in the graph, how manyof them have to go through this vertex (or edge). Relative betweenness centrality iscalculated by scaling the absolute betweenness centrality by factor 2/((n-1)(n-2)), wheren is the number of vertices in the graph.The brandes.betweenness.centrality function implements Brandes’ algorithm incalculating betweenness centrality.The betweenness.centrality.clustering function implements clustering in a graphbased on edge betweenness centrality.TODO: EXPLAIN MORE> brandes.betweenness.centrality(coex)$betweenness.centrality.verticesA B C D E H F G[1,] 0 0 0 12 4 4 0 0$edges[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13] [,14][1,] "A" "A" "A" "B" "B" "C" "D" "D" "E" "E" "E" "H" "H" "F"[2,] "B" "C" "D" "C" "D" "D" "E" "H" "F" "G" "H" "F" "G" "G"$betweenness.centrality.edges[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]centrality 1 1 5 1 5 5 8 8 3 3 1 3 3[,14]centrality 1$relative.betweenness.centrality.verticesA B C D E H F G[1,] 0 0 0 0.5714286 0.1904762 0.1904762 0 0$dominance[1] 0.5170068> betweenness.centrality.clustering(coex, 0.1, TRUE)$no.of.edges[1] 12$edges31

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