单圈图的最小广义Zagreb指标

Minimum Generalized Zagreb Indices of Unicycle Graph

设G是单圈图,dv表示顶点v的度数.讨论了单圈图G的几个拓扑指标:mG=vVGdvm,mG=vVGdvm,m1G=vVGdvm1,这里m是不小于2的正整数,刻画了单圈图关于3个拓扑指标的最小值.

Let G be an unicycle graph and d~ be the degree of the vertex v. Investigates the following topologicall indices for an unicycle graph G： otto G： m（G）=∑v∈v（G）dv^m,-m（G）=∑v∈v（G）dv^-m , -1/m（G）=∑v∈v（G）dv^-1/m, here m is a positive interger not less than 2, describes the unicycle graph with the smallest value of the three topological indices.