Acyclic colouring of 1-planar graphs

被引:46
作者
Borodin, OV
Kostochka, AV
Raspaud, A
Sopena, E
机构
[1] Novosibirsk State Univ, Novosibirsk 630090, Russia
[2] Sobolev Inst Math, Novosibirsk 630090, Russia
[3] Univ Bordeaux 1, LaBRI, F-33405 Talence, France
关键词
D O I
10.1016/S0166-218X(00)00359-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A graph is I-planar if it can be drawn on the plane in such a way that every edge crosses at most one other edge. We prove that the acyclic chromatic number of every I-planar graph is at most 20. (C) 2001 Published by Elsevier Science B.V.
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页码:29 / 41
页数:13
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