Sharp bounds of the zeroth-order general Randić index of bicyclic graphs with given pendent vertices

Let G be a simple connected graph and α be a given real number. The zeroth-order general Randić index of 0Rα(G) is defined as ∑v∈V(G)[dG(v)]α, where dG(v) denotes the degree of the vertex v of G. In this paper, for any α(≠0,1), we give sharp bounds of the zeroth-order general Randić index 0Rα of all bicyclic graphs with n vertices and k pendent vertices.