乘積與合成圖形中多重著色的拓樸不變性
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Date
1982-06-??
Authors
吳森原
李世仁
Journal Title
Journal ISSN
Volume Title
Publisher
國立臺灣師範大學研究發展處
Office of Research and Development
Office of Research and Development
Abstract
Berge [3]在1976年，曾經發表一些有關多重著色問題的研究。在本文中，我們研究乘積與合成圖形的多重著色的性質。我們證明了若G是具有偶數個頂點的第一類圖形[5]，則G的多重色彩指數與其色彩指數相同。我們並證明若G1,G2都是可以多重著色的圖形，則G1×G2與G1 [G2] 也都是可以多重著色。
Berge [3] has studied some properties of multicoloring in a graph. In this pqper, we study the multicoloring in the product and composition of graphs. We show that if G has even vertices with the first class [5] , then the multicoloring index of G is equal to the chromatic index of G. We also show that if G1 and G2 are both multicolorable, then G1 × G2 and G1[G2] are also multicolorable.
Berge [3] has studied some properties of multicoloring in a graph. In this pqper, we study the multicoloring in the product and composition of graphs. We show that if G has even vertices with the first class [5] , then the multicoloring index of G is equal to the chromatic index of G. We also show that if G1 and G2 are both multicolorable, then G1 × G2 and G1[G2] are also multicolorable.