List Edge and List Total Colorings of Planar Graphs without non-induced 7-cycles

被引:1
|
作者
Dong, Aijun [1 ]
Liu, Guizhen [2 ]
Li, Guojun [2 ]
机构
[1] Shandong Jiaotong Univ, Sch Sci, Jinan 250023, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
关键词
List coloring; Planar graph; Choosability; TOTAL CHOOSABILITY;
D O I
暂无
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
Giving a planar graph G, let chi(l)'(G) and chi('')(l)( G) denote the list edge chromatic number and list total chromatic number of G respectively. It is proved that if G is a planar graph without non-induced 7-cycles, then chi(l)'(G) <= Delta(G) + 1 and chi('')(l)(G) <= Delta(G) + 2 where Delta(G) >= 7.
引用
收藏
页码:101 / 106
页数:6
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