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Computation on Graphs—Wolfram Documentation

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• Functions
  • AdjacencyMatrix
  • BreadthFirstScan
  • ChromaticPolynomial
  • ConnectedComponents
  • DepthFirstScan
  • EdgeAdd
  • EdgeConnectivity
  • FindClique
  • FindEdgeCover
  • FindHamiltonianCycle
  • FindIndependentEdgeSet
  • FindMaximumFlow
  • FindPostmanTour
  • FindShortestPath
  • FindVertexCover
  • FlowPolynomial
  • GraphUnion
  • KCoreComponents
  • NeighborhoodGraph
  • Subgraph
  • TuttePolynomial
  • VertexAdd
  • VertexDelete
  • WeaklyConnectedComponents
• Related Guides
  • Graphs & Networks
• • Functions
    • AdjacencyMatrix
    • BreadthFirstScan
    • ChromaticPolynomial
    • ConnectedComponents
    • DepthFirstScan
    • EdgeAdd
    • EdgeConnectivity
    • FindClique
    • FindEdgeCover
    • FindHamiltonianCycle
    • FindIndependentEdgeSet
    • FindMaximumFlow
    • FindPostmanTour
    • FindShortestPath
    • FindVertexCover
    • FlowPolynomial
    • GraphUnion
    • KCoreComponents
    • NeighborhoodGraph
    • Subgraph
    • TuttePolynomial
    • VertexAdd
    • VertexDelete
    • WeaklyConnectedComponents
  • Related Guides
    • Graphs & Networks

• Functions
  • AdjacencyMatrix
  • BreadthFirstScan
  • ChromaticPolynomial
  • ConnectedComponents
  • DepthFirstScan
  • EdgeAdd
  • EdgeConnectivity
  • FindClique
  • FindEdgeCover
  • FindHamiltonianCycle
  • FindIndependentEdgeSet
  • FindMaximumFlow
  • FindPostmanTour
  • FindShortestPath
  • FindVertexCover
  • FlowPolynomial
  • GraphUnion
  • KCoreComponents
  • NeighborhoodGraph
  • Subgraph
  • TuttePolynomial
  • VertexAdd
  • VertexDelete
  • WeaklyConnectedComponents
• Related Guides
  • Graphs & Networks
• • Functions
    • AdjacencyMatrix
    • BreadthFirstScan
    • ChromaticPolynomial
    • ConnectedComponents
    • DepthFirstScan
    • EdgeAdd
    • EdgeConnectivity
    • FindClique
    • FindEdgeCover
    • FindHamiltonianCycle
    • FindIndependentEdgeSet
    • FindMaximumFlow
    • FindPostmanTour
    • FindShortestPath
    • FindVertexCover
    • FlowPolynomial
    • GraphUnion
    • KCoreComponents
    • NeighborhoodGraph
    • Subgraph
    • TuttePolynomial
    • VertexAdd
    • VertexDelete
    • WeaklyConnectedComponents
  • Related Guides
    • Graphs & Networks

The Wolfram System has extensive graph computation capabilities, including finding paths, cycles, and subgraphs based on connectivity to direct support for traversal-based programming.

NeighborhoodGraph — graph neighborhood of some vertex, edge, etc.

Subgraph  ▪  GraphUnion  ▪  VertexAdd  ▪  VertexDelete  ▪  EdgeAdd  ▪  ...

FindMaximumFlow — find the maximum flow between two vertices

FindShortestPath  ▪  FindHamiltonianCycle  ▪  FindPostmanTour  ▪  ...

ConnectedComponents — give groups of vertices that are strongly connected

WeaklyConnectedComponents  ▪  KCoreComponents  ▪  EdgeConnectivity  ▪  ...

FindClique — find complete subgraphs

FindVertexCover  ▪  FindEdgeCover  ▪  FindIndependentEdgeSet  ▪  ...

TuttePolynomial — compute the Tutte polynomial of a graph

ChromaticPolynomial  ▪  FlowPolynomial

DepthFirstScan — scan a graph in depth-first order

BreadthFirstScan  ▪  AdjacencyMatrix  ▪  ...

▪
• Graphs & Networks

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