Bipartite Subgraphs of Triangle-Free Graphs
β Scribed by Poljak, Svatopluk; Tuza, Zsolt
- Book ID
- 118197237
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1994
- Tongue
- English
- Weight
- 697 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0895-4801
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
Bollobas, B. and H.R. Hind, Graphs without large triangle free subgraphs, Discrete Mathematics 87 (1991) 119-131. The main aim of the paper is to show that for 2 < r <s and large enough n, there are graphs of order n and clique number less than s in which every set of vertices, which is not too sma