Note on the game chromatic index of trees

被引:17
作者
Erdös, PL
Faigle, U
Hochstättler, W
Kern, W
机构
[1] A Renyi Inst Math, H-1053 Budapest, Hungary
[2] Univ Cologne, Zentrum Angew Informat Koln, D-50931 Cologne, Germany
[3] BTU Cottbus, Dept Math, D-03013 Cottbus, Germany
[4] Univ Twente, Dept Appl Math, NL-7500 AE Enschede, Netherlands
关键词
game theory; chromatic index;
D O I
10.1016/j.tcs.2002.10.002
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We study edge coloring games defining the so-called game chromatic index of a graph. It has been reported that the game chromatic index of trees with maximum degree Delta = 3 is at most Delta + 1. We show that the same holds true in case Delta greater than or equal to 6, which would leave only the cases Delta =4 and 5 open. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:371 / 376
页数:6
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