Conditional chromatic numbers with forbidden cycles
β Scribed by Karen Casey Dargen; Kathryn Fraughnaugh
- Book ID
- 107826664
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 966 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Graph bundles generalize the notion of covering graphs and products of graphs. The chromatic numbers of product bundles with respect to the Cartesian, strong and tensor product whose base and fiber are cycles are determined. ## 1. Introduction If G is a graph, V(G) and E(G) denote its vertex and e
We prove that, for any pair of integers k, l 1, there exists an integer N(k, l ) such that every graph with chromatic number at least N(k, l ) contains either K k or an induced odd cycle of length at least 5 or an induced cycle of length at least l.