On colouring point visibility graphs

被引：0
|
作者：
Diwan, Ajit Arvind [1 ]
Roy, Bodhayan [1 ,2 ]
机构：
[1] Indian Inst Technol, Dept Comp Sci & Engn, Mumbai, Maharashtra, India
[2] Masaryk Univ, Fac Informat, Brno, Czech Republic
来源：
DISCRETE APPLIED MATHEMATICS | 2020年 / 286卷 / 78-90期
关键词：
Point set; Visibility graph; Graph colouring;
D O I：
10.1016/j.dam.2019.01.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that it can be decided in polynomial time whether or not the visibility graph of a given point set is 4-colourable, and such a 4-colouring, if it exists, can also be constructed in polynomial time. We show that the problem of deciding whether the visibility graph of a point set is 5-colourable, is NP-complete. We give an example of a point visibility graph that has chromatic number 6 while its clique number is only 4. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：78 / 90
页数：13
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