有r(≥3)个圈仙人掌图的零阶广义Randic指数的界

On Sharp Bounds of the Zero-order General Randic Index of Cacti with r(≥3) Cycles

设G为一简单连通图,则G的零阶广义Randic指数定义为R0α(G)=∑v∈V(G)dα(v),其中d(v)为顶点v的度数,α为非0和1的实数;图G称之为仙人掌图,如果G的每一块要么是一条边,要么是一个圈.此文主要研究有r(≥3)个圈仙人掌图的零阶广义Randic指数的界.

The zero-order general Randic index of a simple connected graph G is defined as R0α（G） = v∈V（∑G） dα（v）,where d（v） denotes the degree of v,α is a given real number other than 0 and 1.A graph G is called a cactus if each block of G is either an edge or a cycle.In this paper,we present the sharp bounds of the zero-order general Randic index of cacti with r（≥3） cycles.