Coloring Vertices and Faces of Locally Planar Graphs
β Scribed by Michael O. Albertson; Bojan Mohar
- Book ID
- 106047599
- Publisher
- Springer Japan
- Year
- 2006
- Tongue
- English
- Weight
- 102 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Suppose G is a graph embedded in S g with width (also known as edge width) at least 264(2 g Γ 1). If P V(G) is such that the distance between any two vertices in P is at least 16, then any 5-coloring of P extends to a 5-coloring of all of G. We present similar extension theorems for 6-and 7-chromati
## Abstract A __star coloring__ of a graph is a proper vertexβcoloring such that no path on four vertices is 2βcolored. 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