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ENTIRE CHROMATIC NUMBER AND △-MATCHI

時間:2023-04-29 14:12:09 數(shù)理化學(xué)論文

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(shù)學(xué)物理學(xué)報(英文版)  ISTIC SCI 英文刊名: ACTA MATHEMATICA SCIENTIA  年,卷(期): 2005 25(4)  分類號: O4  關(guān)鍵詞: Outerplane graph   matching   entire chromatic number  

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