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图的一些变换对其不正则性的影响
引用本文:刘洋,吕剑波.图的一些变换对其不正则性的影响[J].漳州师院学报,2014(4):8-14.
作者姓名:刘洋  吕剑波
作者单位:闽南师范大学数学与统计学院,福建漳州363000
基金项目:福建自然科学基金项目(2014J01020);闽南师范大学研究生科研立项资助项目(1300-1314)
摘    要:图G的不正则性irr(G)定义为所有边黝所对应的|d(u)-d(v)|之和,其中d(u),d(v)汾别为顶点u,v在G中的度.本文主要讨论图的一些变换(如收缩非悬挂边、收缩非悬挂边后并加悬挂边、去掉最大度点或者最小度点)对其不正则性的影响.

关 键 词:  不正则性  变换

The Effects on the Irregularity of Graphs with Some Transformations
LIU Yang,LV Jian-bo.The Effects on the Irregularity of Graphs with Some Transformations[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2014(4):8-14.
Authors:LIU Yang  LV Jian-bo
Institution:(School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, China)
Abstract:The irregularity irr (G) of a graph G is the sum of|d(u)-d(v)| over all edges u, v of G, where d(u), d(v) are the degree of the vertex u, v in G, respectively. In this paper, we study the effects on the irregularity of graphs with some transformations, such as contraction an edge, separating an edge and deleting a vertex with maximum degree or minimmn degree, respectively.
Keywords:graph  irregularity  transformations
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