## Abstract We prove that a 2โconnected, outerplanar bipartite graph (respectively, outerplanar nearโtriangulation) 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__โlistโcolored (except when
On the list dynamic coloring of graphs
โ Scribed by S. Akbari; M. Ghanbari; S. Jahanbekam
- Book ID
- 108112826
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 317 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0166-218X
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 |_
A graph G is called (k, d)\*-choosable if, for every list assignment L satisfying [L(v)l = k for all v E V(G), there is an L-coloring of G such that each vertex of G has at most d neighbors colored with the same color as itself. In this note, we prove that every planar graph without 4-cycles and /-c
## 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