Acyclic list edge coloring of outerplanar graphs
β Scribed by Qiaojun Shu; Yiqiao Wang; Weifan Wang
- Book ID
- 119227566
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 282 KB
- Volume
- 313
- Category
- Article
- ISSN
- 0012-365X
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## 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
## Abstract A proper edge coloring of a graph __G__ is called acyclic if there is no 2βcolored cycle in __G__. The acyclic edge chromatic number of __G__, denoted by Ο(__G__), is the least number of colors in an acyclic edge coloring of __G__. In this paper, we determine completely the acyclic edge