An asymptotically tight bound on the adaptable chromatic number
β Scribed by Michael Molloy; Giovanna Thron
- Book ID
- 112121096
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 204 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let Ξ·β>β0 be given. Then there exists __d__~0~β=β__d__~0~(Ξ·) such that the following holds. Let __G__ be a finite graph with maximum degree at most __d__ββ₯β__d__~0~ whose vertex set is partitioned into classes of size Ξ± __d__, where Ξ±β₯ 11/4β+βΞ·. Then there exists a proper coloring of __
In 1969, Ore and Plummer defined an angular coloring as a natural extension of the Four Color Problem: a face coloring of a plane graph where faces meeting even at a vertex must have distinct colors. A natural lower bound is the maximum degree 2 of the graph. Some graphs require w 3 2 2x colors in a