## 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 |_
Adapted List Coloring of Graphs and Hypergraphs
β Scribed by Kostochka, A. V.; Zhu, Xuding
- Book ID
- 118197010
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2008
- Tongue
- English
- Weight
- 186 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The face-hypergraph, H(G), of a graph G embedded in a surface has vertex set V(G), and every face of G corresponds to an edge of H(G) consisting of the vertices incident to the face. We study coloring parameters of these embedded hypergraphs. A hypergraph is k-colorable (k-choosable) if there is a c
## Abstract We prove that a 2βconnected, outerplanar bipartite graph (respectively, outerplanar nearβtriangulation) with a list of colors __L__ (__v__ ) for each vertex __v__ such that $|L(v)|\geq\min\{{\deg}(v),4\}$ (resp., $|L(v)|\geq{\min}\{{\deg}(v),5\}$) can be __L__βlistβcolored (except when