Cycle covering in bridgeless graphs
β Scribed by Pierre Fraisse
- Book ID
- 107884220
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 411 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Some new results on minimum cycle covers are proved. As a consequence, it is obtained that the edges of a bridgeless graph G can be covered by cycles of total length at most |E(G)| + 25 24 (|V (G)| -1), and at most |E(G)| + |V (G)| -1 if G contains no circuit of length 8 or 12.
## Abstract Let __k__ and __n__ be two integers such that __k__ β₯ 0 and __n__ β₯ 3(__k__ + 1). Let __G__ be a graph of order __n__ with minimum degree at least β(__n__ + __k__)/2β. Then __G__ contains __k__ + 1 independent cycles covering all the vertices of __G__ such that __k__ of them are triangl