Minimal Value of the Exponential of the Generalized Randić Index Over Trees

The generalized Randić index of a graph G with vertex set V (G) and edge set E (G), is defined as χα (G) = X uv∈E(G) (d (u) d (v))α , where α is an arbitrary real number, and d (u) denotes the degree of u ∈ V (G). In this paper we study the exponential of χα (G), defined as e χα (G) = X uv∈E(G) e (d...