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author:

Hou, Jianfeng (Hou, Jianfeng.) [1] (Scholars:侯建锋) | Zhu, Hongguo (Zhu, Hongguo.) [2]

Indexed by:

EI Scopus SCIE

Abstract:

For a graph G and a positive integer k, a k-list assignment of G is a function L on the vertices of G such that for each vertex nu is an element of V(G), vertical bar L(nu)vertical bar >= k. Let s be a nonnegative integer. Then L is a (k, k + s)-list assignment of G if vertical bar L(u) boolean OR L(nu)vertical bar >= k + s for each edge uv. If for each (k, k s)-list assignment L of G, G admits a proper coloring phi such that phi(nu) is an element of L(nu) for each nu is an element of V(G), then we say G is (k, k s)-choosable. This refinement of choosability is called choosability with union separation by Kumbhat, Moss and Stolee, who showed that all planar graphs are (3, 11)-choosable. In this paper, we prove that every planar graph without cycles of length 4 is (3,6)-choosable. (C) 2020 Elsevier Inc. All rights reserved.

Keyword:

C-4-free Choosability Discharge Planar graph

Community:

  • [ 1 ] [Hou, Jianfeng]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China
  • [ 2 ] [Zhu, Hongguo]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China

Reprint 's Address:

  • 朱洪国

    [Zhu, Hongguo]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China

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Source :

APPLIED MATHEMATICS AND COMPUTATION

ISSN: 0096-3003

Year: 2020

Volume: 386

4 . 0 9 1

JCR@2020

3 . 5 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:50

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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