Sergiy Iglin《Graph Theory Toolbox》(图论工具箱)

本工具箱拥有25个函数解决图论相关方面的任务

GrTheory - Graph Theory Toolbox.

Functions:

grBase - find all bases of digraph;

grCoBase - find all contrabases of digraph;

grCoCycleBasis - find all independent cut-sets for a connected graph;

grColEdge - solve the color problem for graph edges;

grColVer - solve the color problem for graph vertexes;

grComp - find all components of graph;

grCycleBasis - find all independent cycles for a connected graph;

grDecOrd - solve the problem about decomposition of the digraph to the sections with mutually accessed vertexes (strongly connected components);

grDistances - find the distances between any vertexes of graph;

grEccentricity - find the (weighted) eccentricity of all vertexes, radius, diameter, center vertexes and the periphery vertexes;

grIsEulerian - find the Eulerian cycle of graph;

grMaxComSu - solve the maximal complete sugraph problem for the graph;

grMaxFlows - solve the maximal flow problem for the digraph;

grMaxMatch - solve the maximal matching problem for the graph;

grMaxStabSet - solve the maximal stable set problem for the graph;

grMinAbsEdgeSet - solve the minimal absorbant set problem for the graph edges;

grMinAbsVerSet - solve the minimal absorbant set problem for the graph vertexes;

grMinCutSet - solve the minimal cut-set problem for the digraph;

grMinEdgeCover - solve the minimal edge cover problem for the graph;

grMinSpanTree - solve the minimal spanning tree problem for the graph;

grMinVerCover - solve the minimal vertex cover problem for the graph;

grPERT - solve the project evaluation research task;

grPlot - draw the plot of the graph (digraph);

grShortPath - solve the shortest path problem for the digraph;

grTravSale - solve the nonsymmetrical traveling salesman problem;

grValidation - auxiliary function (the data validation);

grTheoryTest - test program for all functions

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