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Circuit extension and circuit double cover of graphs

✍ Scribed by Miao, Zhengke; Ye, Dong; Zhang, Cun-Quan


Book ID
120544186
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
393 KB
Volume
313
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Covering Graphs by Simple Circuits
✍ Itai, Alon; Lipton, Richard J.; Papadimitriou, Christos H.; Rodeh, M. πŸ“‚ Article πŸ“… 1981 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 448 KB
Circuit decompositions of join-covered g
✍ Marcelo H. de Carvalho; C. H. C. Little πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 137 KB

## Abstract In this paper, we focus our attention on join‐covered graphs, that is, Β±1‐weighted graphs, without negative circuits, in which every edge lies in a zero‐weight circuit. Join covered graphs are a natural generalization of matching‐covered graphs. Many important properties of matching cov

Shortest Circuit Covers of Cubic Graphs
✍ B. Jackson πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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.

Kotzig frames and circuit double covers
✍ Xiaodong Zhang; Cun-Quan Zhang πŸ“‚ Article πŸ“… 2012 πŸ› Elsevier Science 🌐 English βš– 362 KB
On semiextensions and circuit double cov
✍ Enrique GarcΓ­a Moreno Esteva; Tommy R. Jensen πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 147 KB
Circuit Coverings of Graphs and a Conjec
✍ G.H. Fan πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 260 KB

An equivalent statement of the circuit double cover conjecture is that every bridgeless graph \(G\) has a circuit cover such that each vertex \(v\) of \(G\) is contained in at most \(d(v)\) circuits of the cover, where \(d(v)\) is the degree of \(v\). Pyber conjectured that every bridgeless graph \(