The Hyper-Zagreb index and F-index of five kinds of graphs

Abstract

The Hyper-Zagreb index is defined as HM(G) = Σ_uv∊E(G) (d_G(u)+d_G(V))², and the F-index of a graph is defined as the sum of cubes of the vertex degrees of the graph. In this paper, we present exact formulae for the Hyper-Zagreb index and the F-index of the subdivision-vertex corona, subdivision-edge corona, subdivision-vertex join, subdivision-edge join and subdivision-vertex-edge join. © 2020 Utilitas Mathematica Publishing Inc.. All rights reserved.