Module org.jgrapht.core

Package org.jgrapht.alg.cycle

Class PatonCycleBase<V,E>

java.lang.Object

org.jgrapht.alg.cycle.PatonCycleBase<V,E>

Type Parameters:

V - the graph vertex type

E - the graph edge type

All Implemented Interfaces:

CycleBasisAlgorithm<V,E>

public class PatonCycleBase<V,E>
extends Object
implements CycleBasisAlgorithm<V,E>

Find a cycle basis of an undirected graph using a variant of Paton's algorithm.

See:
K. Paton, An algorithm for finding a fundamental set of cycles for an undirected linear graph, Comm. ACM 12 (1969), pp. 514-518.

Note that Paton's algorithm produces a fundamental cycle basis while this implementation produces a weakly fundamental cycle basis. A cycle basis is called weakly fundamental if there exists a linear ordering of the cycles in a cycle basis such that each cycle includes at least one edge that is not part of any previous cycle. Every fundamental cycle basis is weakly fundamental (for all linear orderings) but not necessarily vice versa.

Author:

Nikolay Ognyanov

Nested Class Summary

Nested classes/interfaces inherited from interface org.jgrapht.alg.interfaces.CycleBasisAlgorithm

CycleBasisAlgorithm.CycleBasis<V,E>, CycleBasisAlgorithm.CycleBasisImpl<V,E>

Constructor Summary

Constructors

Constructor	Description
PatonCycleBase(Graph<V,E> graph)	Create a cycle base finder for the specified graph.

Method Summary

Modifier and Type	Method	Description
CycleBasisAlgorithm.CycleBasis<V,E>	getCycleBasis()	Return an undirected cycle basis of a graph.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

PatonCycleBase

public PatonCycleBase(Graph<V,E> graph)

Create a cycle base finder for the specified graph.

Parameters:

graph - the input graph

Throws:

IllegalArgumentException - if the graph argument is null or the graph is not undirected

Method Details

getCycleBasis

public CycleBasisAlgorithm.CycleBasis<V,E> getCycleBasis()

Return an undirected cycle basis of a graph. Works only for undirected graphs which do not have multiple (parallel) edges.

Specified by:

getCycleBasis in interface CycleBasisAlgorithm<V,E>

Returns:

an undirected cycle basis

Throws:

IllegalArgumentException - if the graph is not undirected

IllegalArgumentException - if the graph contains multiple edges between two vertices