As of Version 10, most of the functionality of the Combinatorica package is built into the Wolfram System. >>

Graph Construction and Representations

 

参考资料参考资料

Graphs and Components

Graph a graph object

Edges, Vertices list of edges and vertices in a graph

M, V number of edges and vertices in a graph

Graph Representations

ToOrderedPairs get a list of edges

ToAdjacencyLists represent a graph as adjacency lists

ToAdjacencyMatrix represent a graph as an adjacency matrix

ToUnorderedPairs  ▪  FromOrderedPairs  ▪  FromUnorderedPairs

FromAdjacencyLists  ▪  FromAdjacencyMatrix  ▪  IncidenceMatrix

SymmetricQ test if a square matrix represents a symmetric relation

EquivalenceRelationQ test if a matrix defines an equivalence relation

AntiSymmetricQ  ▪  EquivalenceClasses  ▪  Equivalences

Displaying Graphs »

ShowGraph display a graph

ShowGraphArray display several graphs

GraphOptions  ▪  ShowLabeledGraph  ▪  ...

Constructing Graphs »

MakeGraph construct a graph using a binary predicate

RandomGraph generate a random graph

GraphUnion construct the union of two graphs

LineGraph  ▪  AddEdges  ▪  MakeUndirected  ▪  PermuteSubgraph  ▪  ...

SetEdgeWeights assign weights to edges

SetVertexWeights assign weights to vertices

GetEdgeWeights  ▪  GetVertexWeights  ▪  GetEdgeLabels  ▪  GetVertexLabels

CostOfPath  ▪  DilateVertices  ▪  WeightingFunction  ▪  WeightRange  ▪  ...

Graph Input and Output

ReadGraph read graph specification from a file

WriteGraph write graph specification into a file

Built-in Graphs »

Cycle a circular chain of edges

GridGraph graph with nodes on a grid

FiniteGraphs list of all built-in finite parameterless graphs

Wheel  ▪  Hypercube  ▪  Harary  ▪  ...