单圈图的次小Randic指数  

The Second Minimum Randic Index in Unicyclic Graphs

作　　者：桂云[1] 

机构地区：[1]蚌埠学院数理系,安徽蚌埠233000

出　　处：《重庆工商大学学报（自然科学版）》2015年第4期12-15,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：一个图G的Randic指数定义为R(G)=Σ(x,y)∈E(G)[d(x)d(y)]-1/2,Randic指数是分子拓扑学中的重要指数;一种物质的理化性质与其分子结构图的Randic指数有相关性;Randic指数主要的研究是寻找某种类型图的Randic指数极值或次极值;具有最小Randic指数的单圈图为S+n,在此基础上导出具有次小Randic指数的单圈图G*n.The Randic index R（G） of graph G is defined as R（G）=∑ （x,y）∈E（G） [d（x）d（y）]-1/2 The Randic index is an important index in molecular topology. There is a good correlation between physical and chemicalproperties of certain substance and and second minimum R-values in index is Sn＋, on the basis of which, Randic index of its molecular structure. Randic index is used to （pertinently chosen） classes of graphs. Unicyclic graph this paper gives the second minimum find the minimum minimum Randic Randic index of unicyclic graphs G＊n.

关 键 词：单圈图 次小 RANDIC指数 

分 类 号：O157.5[理学—数学]