Class PatonCycleBase<V,E>

Type Parameters:
V - the graph vertex type
E - the graph edge type
All Implemented Interfaces:

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.

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.

Nikolay Ognyanov
  • Constructor Details

    • PatonCycleBase

      public PatonCycleBase(Graph<V,E> graph)
      Create a cycle base finder for the specified graph.
      graph - the input graph
      IllegalArgumentException - if the graph argument is null or the graph is not undirected
  • Method Details