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
来源：
DISCRETE APPLIED MATHEMATICS | 2001年 / 114卷 / 1-3期
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.
引用
收藏
页码：29 / 41
页数：13
相关论文
共 50 条
  • [21] On the Pagenumber of 1-Planar Graphs
    Xiaxia GUAN
    Weihua YANG
    Chinese Annals of Mathematics,Series B, 2025, (02) : 287 - 302
  • [22] The structure of 1-planar graphs
    Fabrici, Igor
    Madaras, Tomas
    DISCRETE MATHEMATICS, 2007, 307 (7-8) : 854 - 865
  • [23] Acyclic edge colouring of planar graphs without short cycles
    Borowiecki, Mieczyslaw
    Fiedorowicz, Anna
    DISCRETE MATHEMATICS, 2010, 310 (09) : 1445 - 1455
  • [24] Correction to: Outer 1-Planar Graphs
    Christopher Auer
    Christian Bachmaier
    Franz J. Brandenburg
    Andreas Gleißner
    Kathrin Hanauer
    Daniel Neuwirth
    Josef Reislhuber
    Algorithmica, 2021, 83 (11) : 3534 - 3535
  • [25] On the sizes of bipartite 1-planar graphs
    Huang, Yuanqiu
    Ouyang, Zhangdong
    Dong, Fengming
    ELECTRONIC JOURNAL OF COMBINATORICS, 2021, 28 (02):
  • [26] ON PROPERTIES OF MAXIMAL 1-PLANAR GRAPHS
    Hudak, David
    Madaras, Tomas
    Suzuki, Yusuke
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2012, 32 (04) : 737 - 747
  • [27] On total colorings of 1-planar graphs
    Zhang, Xin
    Hou, Jianfeng
    Liu, Guizhen
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2015, 30 (01) : 160 - 173
  • [28] Packing Trees into 1-Planar Graphs
    De Luca, Felice
    Di Giacomo, Emilio
    Hong, Seok-Hee
    Kobourov, Stephen
    Lenhart, William
    Liotta, Giuseppe
    Meijer, Henk
    Tappini, Alessandra
    Wismath, Stephen
    GRAPH DRAWING AND NETWORK VISUALIZATION, 2019, 11904 : 605 - 607
  • [29] Spectral extrema of 1-planar graphs
    Zhang, Wenqian
    Wang, Jianfeng
    Wang, Weifan
    DISCRETE MATHEMATICS, 2024, 347 (09)
  • [30] Light edges in 1-planar graphs
    Liu, Juan
    Wang, Yiqiao
    Wang, Weifan
    JOURNAL OF GRAPH THEORY, 2022, 101 (04) : 746 - 768
12345