2001-04.pmg-ley-pfs

Circuit Bases of Strongly Connected Digraphs

Petra M. Gleiss, Josef Leydold, and Peter F. Stadler


Abstract

The cycle space of a strongly connected graph has a basis consisting of directed circuits. The concept of relevant circuits is introduced as a generalization of the relevant cycles in undirected graphs. A polynomial time algorithm for the computation of a minimum weight directed circuit basis is outlined.


Mathematics Subject Classification: 05C20 (directed graphs), 05C38 (paths and cycles), 05C85 (graph algorithms)

Keywords: graph theory, directed graphs, cycle space, relevant circuits, minimum length basis


Download Preprint


Josef.Leydold@statistik.wu-wien.ac.at