Precoloring Extensions of Brooks' Theorem
β Scribed by Albertson, Michael O.; Kostochka, Alexandr V.; West, Douglas B.
- Book ID
- 118198893
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2004
- Tongue
- English
- Weight
- 232 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Fw rl ~~(t,~R(QG) denotes the Lick-White vertex-partition number of C In this paper genera',xd Kcmpe paths are used to prove rhat ~"(4;) s {J(G)/(n + I)) if G is not an odd cycle, an (n h I )-regular graph. nor a complete graph on r(n + 1) + 1 vertices. This result generalizes theorems of Brooks and
Recently, in [3], Catlin proved the following extension of Brooks' Theorem [2]. T&eortln 1. Let G be u connected graph with muximcrm degree A(G) = h. If G is neither complete nor an odd cycle, then there exists an h-coloring of G with a monmhromatic maximum independent set. In addition to being of s