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author:

Hou, J.F. (Hou, J.F..) [1] | Liu, G.Z. (Liu, G.Z..) [2]

Indexed by:

Scopus CSCD

Abstract:

A proper coloring of a graph G is acyclic if G contains no 2-colored cycle. A graph G is acyclically L-list colorable if for a given list assignment L = {L(v): v ∈ V (G)}, there exists a proper acyclic coloring φ of G such that φ(v) ∈ L(v) for all v ∈ V (G). If G is acyclically L-list colorable for any list assignment L with {pipe}L(v){pipe} ≥ k for all v ∈ V (G), then G is acyclically k-choosable. In this article, we prove that every toroidal graph is acyclically 8-choosable. © 2014 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.

Keyword:

Acyclic coloring; choosability; toroidal graph

Community:

  • [ 1 ] [Hou, J.F.]Center for Discrete Mathematics, Fuzhou University, Fujian, 350002, China
  • [ 2 ] [Liu, G.Z.]School of Mathematics, Shandong University, Ji'nan, 250100, China

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Source :

Acta Mathematica Sinica, English Series

ISSN: 1439-8516

Year: 2014

Issue: 2

Volume: 30

Page: 343-352

0 . 4 7 5

JCR@2014

0 . 8 0 0

JCR@2023

ESI HC Threshold:86

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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