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
相关论文
共 50 条
  • [21] Game list colouring of graphs
    Borowiecki, M.
    Sidorowicz, E.
    Tuza, Zs.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2007, 14 (01):
  • [22] The Colouring Number of Infinite Graphs
    Bowler, Nathan
    Carmesin, Johannes
    Komjath, Peter
    Reiher, Christian
    COMBINATORICA, 2019, 39 (06) : 1225 - 1235
  • [23] Colouring and labelling of planar graphs
    Van den Heuvel, Y
    McGuinness, S
    ELECTROMAGNETIC COMPATIBILITY 1998, 1998, : 712 - 715
  • [24] Game colouring of the square of graphs
    Esperet, Louis
    Zhu, Xuding
    DISCRETE MATHEMATICS, 2009, 309 (13) : 4514 - 4521
  • [25] Generalized List Colouring of Graphs
    Eun-Kyung Cho
    Ilkyoo Choi
    Yiting Jiang
    Ringi Kim
    Boram Park
    Jiayan Yan
    Xuding Zhu
    Graphs and Combinatorics, 2021, 37 : 2121 - 2127
  • [26] Generalized List Colouring of Graphs
    Cho, Eun-Kyung
    Choi, Ilkyoo
    Jiang, Yiting
    Kim, Ringi
    Park, Boram
    Yan, Jiayan
    Zhu, Xuding
    GRAPHS AND COMBINATORICS, 2021, 37 (06) : 2121 - 2127
  • [27] Circular colouring and orientation of graphs
    Zhu, ZD
    JOURNAL OF COMBINATORIAL THEORY SERIES B, 2002, 86 (01) : 109 - 113
  • [28] Consecutive Colouring of Oriented Graphs
    Marta Borowiecka-Olszewska
    Ewa Drgas-Burchardt
    Nahid Yelene Javier-Nol
    Rita Zuazua
    Results in Mathematics, 2021, 76
  • [29] Strong Incidence Colouring of Graphs
    Benmedjdoub, Brahim
    Sopena, Eric
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2024, 44 (02) : 663 - 689
  • [30] Adapted game colouring of graphs
    Kierstead, H. A.
    Yang, Chung-Ying
    Yang, Daqing
    Zhu, Xuding
    EUROPEAN JOURNAL OF COMBINATORICS, 2012, 33 (04) : 435 - 445
12345