Bipartite subgraphs of triangle-free subcubic graphs
β Scribed by Xuding Zhu
- Book ID
- 108167455
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 479 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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.
## Abstract Lower bounds on the size of a maximum bipartite subgraph of a triangleβfree __r__βregular graph are presented.
Let G be a triangle-free, loopless graph with maximum degree three. We display a polynomi$ algorithm which returns a bipartite subgraph of G containing at least 5 of the edges of G. Furthermore, we characterize the dodecahedron and the Petersen graph as the only 3-regular, triangle-free, loopless, c