硼氮富勒烯图环4-边割的刻画  

Characterization of Cyclic 4-edge Cut of Boron-nitrogen Fullerene Graphs

作　　者：蒋晓艳[1] 

机构地区：[1]惠州学院数学系,广东惠州516007

出　　处：《五邑大学学报（自然科学版）》2016年第2期9-13,共5页Journal of Wuyi University(Natural Science Edition)

基　　金：广东省普通高校青年创新人才项目(2015KQNCX152);惠州学院博士启动基金(C5110208)

摘　　要：硼氮富勒烯图是3?连通、3?正则的平面图,且每个面要么是四边形,要么是六边形.本文刻画了有非平凡环4?边割C的硼氮富勒烯图G,即G有非平凡环4?边割,则G是一类管状图Rn,或G?C的一个分支是2个相邻的四边形,或G?C的一个分支是3个相邻的四边形(即第1个与第2个相邻,第2个与第3个相邻,但第1个与第3个不相邻).A boron-nitrogen fullerene graph is a 3-connected, 3-regular planar graph, and each face is square or hexagon. In this paper, we characterize boron-nitrogen fullerene graph G with non-trivial cyclical-4-edge cut C, that is, G has non-trivial cyelieal-4-edge cut, then G is a type of tubulous graph Pn, or a component of G-C is two adjacent squares, or a component of G-C is three adjacent squares （the first is adjacent to the second square, the second is adjacent the third square, but the first is not adjacent to the third square.）

关 键 词：硼氮富勒烯图 环边连通度 环边割 

分 类 号：O157.5[理学—数学]