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两类几乎外平面图的双约束边色数 被引量:1

Double Edge Chromatic Number of Two Kinds of Almost Outerplane Graphs
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摘要 阐述了几乎外平面图的概念与特点,证明两类特殊的几乎外平面图的双约束边色数恒满足max{Δ(G),FM(G)}≤χe/vf(G)≤max{Δ(G)+1,FM(G)+1},其中Δ(G)、FM(G)分别为图G的最大度和最大面度。 The concept of almost outerplane graph and its characteristic are introduced, and it is proved that the double edge chro-matic number, for two kinds of almost outerplane graphs ,satisfys max{Δ(G),FM(G)}≤χe/vf(G)≤max{Δ(G)+1,FM(G)+1}.
作者 单伟
机构地区 济南大学理学院
出处 《济南大学学报(自然科学版)》 CAS 北大核心 2009年第3期302-305,共4页 Journal of University of Jinan(Science and Technology)
基金 山东省自然科学基金(Y2003A01)
关键词 双约束边染色 双约束边色数 几乎外平面图 double edge coloring double chromatic number almost outerplane graph
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  • 1王维凡.低度平面图的边面全色数[J].高校应用数学学报(A辑),1993,8(3):300-307. 被引量:5
  • 2叶HP 姚兵等(译).图论中的若干专题[M].合肥:中国科学技术大学出版社,1992..
  • 3VIZING V G. On an estimate of the chromatic class of a p-graph(Russian) [ J]. Diskret Analiz, 1964,3:25-30.
  • 4FIORINI S, WILSON R J. Edge-colouring of graphs Research Notes in Mathematics(Vol. 16) [M]. London: Pitman Press, 1977.
  • 5DANIEL P S, ZHAO Yue. Planar Graphs of Maxinum Degree Seven are Class Ⅰ[J]. J Comb Theory, Series B, 2001,83:201-212.
  • 6FIORINI S. On the chromatic index of outerplanar graphs[J]. J Comb Theory, Ser B, 1975,18( 1 ) :35-38.
  • 7WU Jian-liang. The equitable edge-colouring of outerplanargraphs[J]. JCMCC, 2001,36(1): 247-253.
  • 8MIAO Lian-ying, WU Jian-liang. Edge-coloring critical graphs with high degree[J]. Discrete Mathematics, 2002,257( 1 ): 169-172.
  • 9J A Bondy,U S R Murty.Graph theory with applications[M].New York:Macmillan,1976.
  • 10O V Borodin,D R Woodall.Thirteen coloring numbers for outerplane graphs[J].Bull Inst Combin Appl,1995,14:87 ~ 100.

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