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# RBGL: R interface to boost graph library

RBGL: R interface to boost graph library

## A B C D E1 5 1 3

A B C D E1 5 1 3 4\$startA1The function dijkstra.sp finds the shortest paths from A, which is the first node inthe node list - default source, to all other vertices in the graph: B, C, D, E, shown inthe distances part. The penult shows TO-BE-FILLED-IN.For instance, edge A->C exists and carries a weight of 1, so the shortest path fromA to C is 1; the shortest path from A to B goes through A->C->D->E->B and hasweight of 6 (1+3+1+1).> ospf nodes(ospf)[6][1] "RT3"> dijkstra.sp(ospf, nodes(ospf)[6])\$distancesRT1 N1 N3 RT2 N2 RT3 RT6 N4 RT4 RT5 RT7 N12 N13 N14 RT10 N61 4 1 1 4 0 8 2 1 9 15 17 17 17 15 16N15 RT8 N7 RT9 N9 N11 N8 RT11 RT12 N10 H124 16 20 19 19 22 18 18 19 21 29\$penultRT1 N1 N3 RT2 N2 RT3 RT6 N4 RT4 RT5 RT7 N12 N13 N14 RT10 N63 1 6 3 4 6 6 6 3 9 10 10 10 10 7 15N15 RT8 N7 RT9 N9 N11 N8 RT11 RT12 N10 H111 16 18 21 24 20 15 23 21 25 25\$startRT36> sp.between(ospf, "RT6", "RT1")\$`RT6:RT1`\$`RT6:RT1`\$path[1] "RT6" "RT3" "N3" "RT1"8

RT1N1N3RT2RT3RT4N2RT6N4RT5RT10RT9RT7N13N14N8N9N11N12N15N6RT11RT12RT8N10H1N7Figure 5: Network example from BGL.\$`RT6:RT1`\$length[1] 7\$`RT6:RT1`\$pweightsRT6->RT3 RT3->N3 N3->RT16 1 0The first part of this example finds the shortest paths from start RT6 to all the othervertices in the graph, and the second part finds the shortest path between two vertices:RT6 and RT1.Bellman-Ford’s algorithm is for the single-source shortest-paths problem on graphs(directed or undirected) with both positive and negative edge weights. The defaultsource is the first entry in the list of nodes in the graph.> dd

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