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author:

Guan, Yue (Guan, Yue.) [1] | Hou, Jianfeng (Hou, Jianfeng.) [2] (Scholars:侯建锋) | Yang, Yingyuan (Yang, Yingyuan.) [3]

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

Acyclic edge coloring Critical graph Planar graph

Community:

  • [ 1 ] [Guan, Yue]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China
  • [ 2 ] [Hou, Jianfeng]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China
  • [ 3 ] [Yang, Yingyuan]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China

Reprint 's Address:

  • 侯建锋

    [Hou, Jianfeng]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China

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Source :

DISCRETE MATHEMATICS

ISSN: 0012-365X

Year: 2013

Issue: 10

Volume: 313

Page: 1098-1103

0 . 5 6 6

JCR@2013

0 . 7 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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