# matlab grTheory 1.0

OS : Windows / Linux / Mac OS / BSD / Solaris

Script Licensing : BSD License

Created : Aug 23, 2007

Downloads : 15

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## GrTheory - Graph Theory Toolbox.<br />Functions:<br ...

GrTheory - graph Theory Toolbox.

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.

• Optimization 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.

**• MATLAB Release: R14SP1**

**Demands:**• Optimization Toolbox

**matlab grTheory 1.0 scripting tags:**graph, matlab grtheory, solve, matlab mathematics, problem, minimal, vertexes, grtheory mathematics, maximal, find.

**What is new in matlab grTheory 1.0 software script?**- Unable to find matlab grTheory 1.0 news.

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