Relationships between Harmonic Index and other Topological Indices

Abstract

The harmonic index of a connected graph G, denoted by H(G), is defined as H(G )= uv∈E(G) 2 du+dv , where dv is the degree of a vertex v in G. In this note, we established some relationships between harmonic index and several other topological indices. Mathematics Subject Classification: 05C35; 05C12; 05C90