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Circuit Bases of Strongly Connected Digraphs

Author

Listed:
  • Petra M. Gleiss
  • Josef Leydold
  • 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.

Suggested Citation

  • Petra M. Gleiss & Josef Leydold & Peter F. Stadler, 2001. "Circuit Bases of Strongly Connected Digraphs," Working Papers 01-10-056, Santa Fe Institute.
  • Handle: RePEc:wop:safiwp:01-10-056
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    Keywords

    Strongly connected digraphs; cycle space; minimum circuit basis;

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