01-10-056 Circuit Bases of Strongly Connected Digraphs


Circuit Bases of Strongly Connected Digraphs

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

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.

Presented at the conference Recent Trends in Graph Theory, Algebraic Combinatorics, and Graph Algorithms, Bled (Slovenia) Sep 24-27 (2001).

Keywords: Strongly conncted digraphs, cycle space, minimum circuit basis
AMS subject classification: 05C20 (directed graphs), 05C38 (paths and cycles), 05C85 (graph algorithms)

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