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
  • [41] An Improved Upper Bound on the Queue Number of Planar Graphs
    Michael Bekos
    Martin Gronemann
    Chrysanthi N. Raftopoulou
    Algorithmica, 2023, 85 : 544 - 562
  • [42] ACYCLIC COLORINGS OF PLANAR GRAPHS
    GODDARD, W
    DISCRETE MATHEMATICS, 1991, 91 (01) : 91 - 94
  • [43] ACYCLIC COLORINGS OF PLANAR GRAPHS
    GRUNBAUM, B
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (07): : A816 - A816
  • [44] ACYCLIC COLORINGS OF PLANAR GRAPHS
    BORODIN, OV
    DISCRETE MATHEMATICS, 1979, 25 (03) : 211 - 236
  • [45] PLANAR ACYCLIC ORIENTED GRAPHS
    THOMASSEN, C
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1989, 5 (04): : 349 - 361
  • [46] ACYCLIC COLORINGS OF PLANAR GRAPHS
    GRUNBAUM, B
    ISRAEL JOURNAL OF MATHEMATICS, 1973, 14 (04) : 390 - 408
  • [47] PRECISE UPPER BOUND FOR THE STRONG EDGE CHROMATIC NUMBER OF SPARSE PLANAR GRAPHS
    Borodin, Oleg V.
    Ivanova, Anna O.
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2013, 33 (04) : 759 - 770
  • [48] d-Regular Graphs of Acyclic Chromatic Index at Least d+2
    Basavaraju, Manu
    Chandran, L. Sunil
    Kummini, Manoj
    JOURNAL OF GRAPH THEORY, 2010, 63 (03) : 226 - 230
  • [49] Improved lower bound for the list chromatic number of graphs with no Kt minor
    Steiner, Raphael
    COMBINATORICS PROBABILITY & COMPUTING, 2022, 31 (06): : 1070 - 1075
  • [50] Acyclic chromatic indices of fully subdivided graphs
    Fiedorowicz, Anna
    Haluszczak, Mariusz
    INFORMATION PROCESSING LETTERS, 2012, 112 (13) : 557 - 561
12345