We study bipartite graphs partially ordered by the induced subgraph relation. Our goal is to distinguish classes of bipartite graphs that are or are not well-quasi-ordered (wqo) by this relation. Answering an open question from [J Graph Theory 16 (1992), 489-502], we prove that P 7 -free bipartite g
Bipartite Subgraphs and Quasi-Randomness
β Scribed by Jozef Skokan; Lubos Thoma
- Publisher
- Springer Japan
- Year
- 2004
- Tongue
- English
- Weight
- 306 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0911-0119
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## Abstract In this paper are investigated maximum bipartite subgraphs of graphs, i.e., bipartite subgraphs with a maximum number of edges. Such subgraphs are characterized and a criterion is given for a subgraph to be a unique maximum bipartite subgraph of a given graph. In particular maximum bipa
NeSetfil, J. and V. Riidl, On Ramsey graphs without bipartite subgraphs, Discrete Mathematics 101 (1992) 223-229. We prove that for every graph H without triangles and K,,,,,m, n G 2, there exists a Ramsey graph with the same properties. This answers a problem due to Erd& and Faudree. Moreover we