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ArticleOriginal scientific text

Title

Circuit bases of strongly connected digraphs

Authors 1, 2, 1, 3, 4

Affiliations

  1. Institute for Theoretical Chemistry and Structural Biology, University of Vienna, Währingerstrasse 17, A-1090 Vienna, Austria
  2. Department for Applied Statistics and Data Processing, University of Economics and Business Administration, Augasse 2-6, A-1090 Wien, Austria
  3. The Santa Fe Institute, 1399 Hyde Park Rd, Santa Fe NM 87501, USA
  4. Bioinformatics Group, Department of Computer Science, University of Leipzig, Kreuzstrasse 7b, D-04103 Leipzig, Germany

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.

Keywords

ENG
directed graphs, cycle space, relevant circuits, minimum length basis

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Discussiones Mathematicae Graph Theory
2003/23/2
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Pages:
241-260
Main language of publication
English
Received
2001-09-28
Accepted
2002-05-16
Published
2003

DOI: 10.7151/dmgt.1200

Exact and natural sciences