The Complete Chromatic Number of Maximal Outerplane Graphs

数学季刊 ›› 1996, Vol. 11 ›› Issue (3): 19-23.

The Complete Chromatic Number of Maximal Outerplane Graphs

Department of Mathematics,Nanjing University,210093

收稿日期:1993-10-23 出版日期:1996-09-30 发布日期:2024-12-25
基金资助:
Project supported by the Vatural SCience Foundation of LNEC．

The Complete Chromatic Number of Maximal Outerplane Graphs

Department of Mathematics,Nanjing University,210093

Received:1993-10-23 Online:1996-09-30 Published:2024-12-25
Supported by:
Project supported by the Vatural SCience Foundation of LNEC．

摘要/Abstract

摘要： Let G be a maximal outerplane graph and X0(G) the complete chromatic number of G. This paper determines exactly X₀(G) for △(G)≠5 and proves 6≤X₀.(G)≤7 for △(G) = 5, where △(G) is the maximum degree of vertices of G.

关键词: maximal outerplane graph, complete chromatic number, maximum degree of vertices ,

Abstract: Let G be a maximal outerplane graph and X0(G) the complete chromatic number of G. This paper determines exactly X₀(G) for △(G)≠5 and proves 6≤X₀.(G)≤7 for △(G) = 5, where △(G) is the maximum degree of vertices of G.

Key words: maximal outerplane graph, complete chromatic number, maximum degree of vertices ,

中图分类号:

O157.5

王维凡. The Complete Chromatic Number of Maximal Outerplane Graphs[J]. 数学季刊, 1996, 11(3): 19-23.

Wang Weifan. The Complete Chromatic Number of Maximal Outerplane Graphs[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 19-23.

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The Complete Chromatic Number of Maximal Outerplane Graphs

The Complete Chromatic Number of Maximal Outerplane Graphs

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