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A Note on Sub-Eulerian Graphs

✍ Scribed by F. Jaeger

Publisher: John Wiley and Sons
Year: 1979
Tongue: English
Weight: 114 KB
Volume: 3
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190030110

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✦ Synopsis

Abstract

We present an algebraic proof of the following result: a set of edges of a multigraph G is contained in some cycle of G iff the set contains no odd cocycle of G (“cycle” means here: edge disjoint sum of elementary cycles). As a corollary we obtain the characterization of sub‐Eulerian graphs given by Boesch et al. [The spanning subgraphs of Eulerian grpahs. J. Graph Theory (1) (1977) 79–84].

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