## Abstract A cubic triangleβfree graph has a bipartite subgraph with at least 4/5 of the original edges. Examples show that this is a best possible result.
Disjoint Triangles of a Cubic Line Graph
β Scribed by Xiao-Dong Zhang; Stanislaw Bylka
- Publisher
- Springer Japan
- Year
- 2004
- Tongue
- English
- Weight
- 262 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
Let t(G) denote the cardinality of a maximum induced forest of a graph G with n vertices. For connected simple cubic graphs G without triangles, it is shown that r(G) 3 2n/3 except for two particular graphs. This lower bound is sharp and it improves a result due to J.A. Bondy, et al. [l]. Using this
## Abstract In this paper we show that every simple cubic graph on __n__ vertices has a set of at least ββ__n__/4ββ disjoint 2βedge paths and that this bound is sharp. Our proof provides a polynomial time algorithm for finding such a set in a simple cubic graph. Β© 2003 Wiley Periodicals, Inc. J Gra
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