Fast 3-coloring Triangle-Free Planar Graphs

被引：2
|
作者：
Kowalik, Lukasz [1 ]
机构：
[1] Univ Warsaw, Inst Informat, PL-02097 Warsaw, Poland
来源：
ALGORITHMICA | 2010年 / 58卷 / 03期
关键词：
Graph algorithms; Triangle-free planar graphs; Grotzsch's theorem; Coloring; Efficient algorithm; LENGTH;
D O I：
10.1007/s00453-009-9295-2
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Although deciding whether the vertices of a planar graph can be colored with three colors is NP-hard, the widely known Grotzsch's theorem states that every triangle-free planar graph is 3-colorable. We show the first o(n(2)) algorithm for 3-coloring vertices of triangle-free planar graphs. The time complexity of the algorithm is O(n log n).
引用
收藏
页码：770 / 789
页数：20
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