Coloring of triangle-free graphs on the double torus

被引：1
|
作者：
Kral, Daniel [1 ]
Stehlik, Matej [1 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, Inst Theoret Comp Sci, Prague 11800, Czech Republic
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2008年 / 22卷 / 02期
关键词：
triangle-free graphs; double torus; graphs on surfaces;
D O I：
10.1137/07067920X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that every triangle-free graph on the double torus is 4-colorable. This settles a problem raised by Gimbel and Thomassen Trans. Amer. Math. Soc., 349 (1997), pp. 4555-4564].
引用
收藏
页码：541 / 553
页数：13
相关论文
共 50 条
  • [1] Coloring triangle-free graphs on surfaces
    Dvorak, Zdenek
    Kral, Daniel
    Thomas, Robin
    [J]. ALGORITHMS AND COMPUTATION, 2007, 4835 : 2 - +
  • [2] Coloring triangle-free graphs on surfaces
    Dvorak, Zdenek
    Kral, Daniel
    Thomas, Robin
    [J]. PROCEEDINGS OF THE TWENTIETH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, 2009, : 120 - +
  • [3] Coloring triangle-free graphs with fixed size
    Gimbel, J
    Thomassen, C
    [J]. DISCRETE MATHEMATICS, 2000, 219 (1-3) : 275 - 277
  • [4] Backbone coloring for triangle-free planar graphs
    Bu, Yue-hua
    Zhang, Shui-ming
    [J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2017, 33 (03): : 819 - 824
  • [5] Backbone coloring for triangle-free planar graphs
    Yue-hua Bu
    Shui-ming Zhang
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2017, 33 : 819 - 824
  • [6] Distributed coloring algorithms for triangle-free graphs
    Pettie, Seth
    Su, Hsin-Hao
    [J]. INFORMATION AND COMPUTATION, 2015, 243 : 263 - 280
  • [7] Backbone Coloring for Triangle-free Planar Graphs
    Yue-hua BU
    Shui-ming ZHANG
    [J]. Acta Mathematicae Applicatae Sinica, 2017, 33 (03) : 819 - 824
  • [8] Fractional coloring of triangle-free planar graphs
    Dvorak, Zdenek
    Sereni, Jean-Sebastien
    Volec, Jan
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2015, 22 (04):
  • [9] Coloring and Domination of Vertices in Triangle-free Graphs
    Dutton, Ronald
    [J]. Journal of Combinatorial Mathematics and Combinatorial Computing, 2019, 111 : 137 - 143
  • [10] List coloring triangle-free planar graphs
    Hu, Jianzhang
    Zhu, Xuding
    [J]. JOURNAL OF GRAPH THEORY, 2020, 94 (02) : 278 - 298
12345