## Abstract A __star coloring__ of a graph is a proper vertexโcoloring such that no path on four vertices is 2โcolored. We prove that the vertices of every bipartite planar graph can be star colored from lists of size 14, and we give an example of a bipartite planar graph that requires at least eig
Coloring planar graphs in parallel
โ Scribed by Joan F Boyar; Howard J Karloff
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 616 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Given an edge coloring __F__ of a graph __G__, a vertex coloring of __G__ is __adapted to F__ if no color appears at the same time on an edge and on its two endpoints. If for some integer __k__, a graph __G__ is such that given any list assignment __L__ to the vertices of __G__, with |_
## Abstract A __star coloring__ of a graph is a proper vertexโcoloring such that no path on four vertices is 2โcolored. We prove that the vertices of every planar graph of girth 6 (respectively 7, 8) can be star colored from lists of size 8 (respectively 7, 6). We give an example of a planar graph
## Abstract The acyclic list chromatic number of every planar graph is proved to be at most 7. ยฉ 2002 Wiley Periodicals, Inc. J Graph Theory 40: 83โ90, 2002
This paper discusses a variation of the game chromatic number of a graph: the game coloring number. This parameter provides an upper bound for the game chromatic number of a graph. We show that the game coloring number of a planar graph is at most 19. This implies that the game chromatic number of a