摘要
设G是简单图,用P(G,λ)表示图G的色多项式.若对任意图H使P(H,λ)=P(G,λ),都有H与G同构,则称G是色唯一图.作者证明了:完全三部囹K(2,4,6)是色唯一图.从而解决了文[1]中的一个遗留问题.
Let G be a simple graph and P(G,A) denote the chromatlc polynomial of G. Then G is said to be chromatically unique if for any graph H, P(H,λ) = P(G,λ) implies the H is isomorphic to G. We prove that the complete tripartite graph K(2,4, 6) is chromatically unique. This solves a problem in [1].
出处
《上海师范大学学报(自然科学版)》
1998年第4期14-17,共4页
Journal of Shanghai Normal University(Natural Sciences)
基金
国家自然科学基金
关键词
完全三部图
色唯一图
色划分
complete tripartite graph
chromatically unique graph
partition into color classes