Covering Graphs by Simple Circuits
β Scribed by Itai, Alon; Lipton, Richard J.; Papadimitriou, Christos H.; Rodeh, M.
- Book ID
- 118174081
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1981
- Tongue
- English
- Weight
- 448 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0097-5397
- DOI
- 10.1137/0210058
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## Abstract In this paper, we focus our attention on joinβcovered graphs, that is, Β±1βweighted graphs, without negative circuits, in which every edge lies in a zeroβweight circuit. Join covered graphs are a natural generalization of matchingβcovered graphs. Many important properties of matching cov
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.