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author:

Liu, Bin (Liu, Bin.) [1] | Hou, Jian Feng (Hou, Jian Feng.) [2] (Scholars:侯建锋) | Liu, Gui Zhen (Liu, Gui Zhen.) [3]

Indexed by:

Scopus SCIE CSCD

Abstract:

Suppose that G is a planar graph with maximum degree Delta. In this paper it is proved that G is total-(Delta + 2)-choosable if (1) Delta a parts per thousand yen 7 and G has no adjacent triangles (i.e., no two triangles are incident with a common edge); or (2) Delta a parts per thousand yen 6 and G has no intersecting triangles (i.e., no two triangles are incident with a common vertex); or (3) Delta a parts per thousand yen 5, G has no adjacent triangles and G has no k-cycles for some integer k a {5, 6}.

Keyword:

choosability List total coloring planar graph

Community:

  • [ 1 ] [Liu, Bin]Ocean Univ China, Dept Math, Qingdao 266100, Peoples R China
  • [ 2 ] [Hou, Jian Feng]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350002, Peoples R China
  • [ 3 ] [Liu, Gui Zhen]Shandong Univ, Sch Math, Jinan 250100, Peoples R China

Reprint 's Address:

  • [Liu, Bin]Ocean Univ China, Dept Math, Qingdao 266100, Peoples R China

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Source :

ACTA MATHEMATICA SINICA-ENGLISH SERIES

ISSN: 1439-8516

CN: 11-2039/O1

Year: 2011

Issue: 12

Volume: 27

Page: 2437-2444

0 . 4 7

JCR@2011

0 . 8 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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