曲阜师范大学学报（自然科学版）Issue(1)：23-27,5.DOI:10.3969/j.issn.1001-5337.2016.1.023
广义 Sierpiński 图的第一类 Zagreb 指标
On The First Zagreb Index of Generalized Sierpiński Graphs
摘要
Abstract
Gutman I and Trinajstic'N introduced the concepts of the Zagreb indices in 1972.The first Zagreb index of a simple (molecular)graphG is defined asM 1 (G)= ∑u ∈V(G) d (u)2 ,where d (u)is the degree of the verticesu .In this paper,we consider a model of the polymer network based on generalized Sierpiński graphs.We obtain formulae for the first Zagreb index of generalized Sierpiński graphs S (G ,t )and polymer-ic Sierpiński graphs P (G ,t ),where G is a complete graph,a triangle free δ-regular graph,or a bipartite (δ1 ,δ2 )-semiregular graph.关键词
Sierpiński 图/广义 Sierpiński 图/聚合物 Sierpiński 图/Zagreb 指标Key words
Sierpiński graph/generalized Sierpiński graph/polymeric Sierpiński graph/Zagreb index分类
数理科学引用本文复制引用
梁志鹏,梁晓东..广义 Sierpiński 图的第一类 Zagreb 指标[J].曲阜师范大学学报（自然科学版）,2016,(1):23-27,5.基金项目
国家自然科学基金（11171283）． （）
