On Harmonic Index of Some Special Graphs with Certain Vertex Gluing Graphs

Abstract

The stability of cycloalkanes strain energy, branched alkanes and linear alkanes, can be reasonably modeled using the harmonic index (H), which is commonly defined as ( ) ∑ ( ) ( ) where d(u) denotes the vertex degree of u in graph G. In the current work, public equation is derived to the H index of vertex gluing and certain graphs.