Large Complete Bipartite Subgraphs In Incidence Graphs Of Points And Hyperplanes
β Scribed by Apfelbaum, Roel; Sharir, Micha
- Book ID
- 118197588
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2007
- Tongue
- English
- Weight
- 244 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract An interval coloring of a graph is a proper edge coloring such that the set of used colors at every vertex is an interval of integers. Generally, it is an NPβhard problem to decide whether a graph has an interval coloring or not. A bipartite graph __G__β=β(__A__,__B__;__E__) is (Ξ±, Ξ²)βb
## Abstract It is proved that for every positive integers __k__, __r__ and __s__ there exists an integer __n__β=β__n__(__k__,__r__,__s__) such that every __k__βconnected graph of order at least __n__ contains either an induced path of length __s__ or a subdivision of the complete bipartite graph __