ENTIRE CHROMATIC NUMBER AND △-MATCHI

ENTIRE CHROMATIC NUMBER AND △-MATCHING OF OUTERPLANE GRAPHS

Let G be an outerplane graph with maximum degree △ and the entire chromatic number χvef (G). This paper proves that if △≥ 6, then △ + 1 ≤χvef (G) ≤△ + 2,and χvef (G) = △ + 1 if and only if G has a matching M consisting of some inner edges which covers all its vertices of maximum degree.

作 者： Wang Weifan Zhang Kemin   作者單位： Wang Weifan(Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China)

Zhang Kemin(Department of Mathematics, Nanjing University, Nanjing 210093, China) 

刊 名： 數學物理學報（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(4)  分類號： O4  關鍵詞： Outerplane graph   matching   entire chromatic number  

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