ENTIRE CHROMATIC NUMBER AND Δ-MATCHING OF OUTERPLANE GRAPHS

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2005 English Publisher:Elsevier BVJournal:Acta Mathematica Scientia, volume 25, pages 672-680 (issn: 0252-9602,

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Authors: Weifan Wang; Kemin Zhang;

doi: 10.1016/s0252-9602(17)30207-2

ENTIRE CHROMATIC NUMBER AND Δ-MATCHING OF OUTERPLANE GRAPHS

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Abstract

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

Related Organizations

Nanjing University
China (People's Republic of)
Nanjing University
China (People's Republic of)
Zhejiang Normal University
China (People's Republic of)

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