A note on the minimum number of choosability of planar graphs

作者:Wang, Huijuan; Wu, Lidong; Zhang, Xin; Wu, Weili; Liu, Bin*
来源:Journal of Combinatorial Optimization, 2016, 31(3): 1013-1022.
DOI:10.1007/s10878-014-9805-2

摘要

The problem of minimum number of choosability of graphs was first introduced by Vizing. It appears in some practical problems when concerning frequency assignment. In this paper, we study two important list coloring, list edge coloring and list total coloring. We prove that and for planar graphs with and without adjacent 4-cycles.