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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.
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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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