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Small Circuit Double Covers of Cubic Multigraphs

โœ Scribed by H.J. Lai; X.X. Yu; C.Q. Zhang


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
499 KB
Volume
60
Category
Article
ISSN
0095-8956

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๐Ÿ“œ SIMILAR VOLUMES


Shortest Circuit Covers of Cubic Graphs
โœ B. Jackson ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 298 KB

We show that the edge set of a bridgeless cubic graph \(G\) can be covered with circuits such that the sum of the lengths of the circuits is at most \(\frac{64}{39}|E(G)|\). Stronger results are obtained for cubic graphs of large girth. 1994 Academic Press, Inc.

Small cycle double covers of products I:
โœ R. J. Nowakowski; K. Seyffarth ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 243 KB

## Abstract Bondy conjectured that every simple bridgeless graph has a small cycle double cover (SCDC). We show that this is the case for the lexicographic products of certain graphs and along the way for the Cartesian product as well. Specifically, if __G__ does not have an isolated vertex then __