An improved bound on acyclic chromatic index of planar graphs

被引：8
|
作者：
Guan, Yue [1 ]
Hou, Jianfeng [1 ]
Yang, Yingyuan [1 ]
机构：
[1] Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China
来源：
DISCRETE MATHEMATICS | 2013年 / 313卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Acyclic edge coloring; Planar graph; Critical graph; EDGE COLORINGS;
D O I：
10.1016/j.disc.2013.02.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A proper edge coloring of a graph G is called acyclic if there is no bichromatic cycle in G. The acyclic chromatic index of G, denoted by chi'(a)(G), is the least number of colors k such that G has an acyclic k-edge-coloring. Basavaraju et al. [M. Basavaraju, L.S. Chandran, N. Cohen, F. Havet and T. Muller, Acyclic edge-coloring of planar graphs, SIAM journal of Discrete Mathematics 25 (2) (2011)463-478] showed that chi'(a)(G) <= Delta(G) + 12 for any planar graph G with maximum degree Delta(G). In this paper, the bound is improved to Delta(G) + 10. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：1098 / 1103
页数：6
相关论文
共 50 条
  • [21] Upper bounds on the acyclic chromatic index of degenerate graphs
    Anto, Nevil
    Basavaraju, Manu
    Hegde, Suresh Manjanath
    Kulamarva, Shashanka
    DISCRETE MATHEMATICS, 2024, 347 (04)
  • [22] Acyclic chromatic indices of planar graphs with girth at least five
    Shu, Qiaojun
    Wang, Weifan
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2012, 23 (01) : 140 - 157
  • [23] Acyclic chromatic indices of planar graphs with girth at least five
    Qiaojun Shu
    Weifan Wang
    Journal of Combinatorial Optimization, 2012, 23 : 140 - 157
  • [24] Acyclic Chromatic Indices of Planar Graphs with Girth At Least 4
    Shu, Qiaojun
    Wang, Weifan
    Wang, Yiqiao
    JOURNAL OF GRAPH THEORY, 2013, 73 (04) : 386 - 399
  • [25] An Improved Bound on the Chromatic Number of the Pancake Graphs
    Konstantinova, Elena
    Droogendijk, Leen
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2024, 44 (01) : 35 - 46
  • [26] The strong chromatic index of 1-planar graphs
    Wang, Yiqiao
    Song, Ning
    Wang, Jianfeng
    Wang, Weifan
    arXiv, 2022,
  • [27] STRONG CHROMATIC INDEX OF PLANAR GRAPHS WITH LARGE GIRTH
    Chang, Gerard Jennhwa
    Montassier, Mickael
    Pecher, Arnaud
    Raspaud, Andre
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2014, 34 (04) : 723 - 733
  • [28] Star Chromatic Index of 1-Planar Graphs
    Wang, Yiqiao
    Liu, Juan
    Shi, Yongtang
    Wang, Weifan
    SYMMETRY-BASEL, 2022, 14 (06):
  • [29] Ring graphs and Goldberg's bound on chromatic index
    Cao, Yan
    Chen, Guantao
    He, Shushan
    Jing, Guangming
    JOURNAL OF GRAPH THEORY, 2020, 93 (03) : 440 - 449
  • [30] Improved bounds for the chromatic index of graphs and multigraphs
    Hakimi, SL
    Schmeichel, EF
    JOURNAL OF GRAPH THEORY, 1999, 32 (04) : 311 - 326
12345