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Acyclic edge coloring of planar graphs with girth at least 5.

Authors :
Hou, Jianfeng
Wang, Weitao
Zhang, Xiaoran
Source :
Discrete Applied Mathematics. Dec2013, Vol. 161 Issue 18, p2958-2967. 10p.
Publication Year :
2013

Abstract

Abstract: A proper edge coloring of a graph is if there is no bichromatic cycle in . The acyclic chromatic index of , denoted , is the least number of colors such that has an acyclic -edge-coloring. In this paper, it is shown that if is a planar graph with girth at least 5 and maximum degree , then . Moreover, if , then . [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0166218X
Volume :
161
Issue :
18
Database :
Academic Search Index
Journal :
Discrete Applied Mathematics
Publication Type :
Academic Journal
Accession number :
91952459
Full Text :
https://doi.org/10.1016/j.dam.2013.06.013