Title of article :
on the harmonic index of graph operations
Author/Authors :
SHWETHA SHETTY, B. Don Bosco Institute of Technology, India , LOKESHA, V. Vijayanagara Sri Krishnadevaraya University - Department of Mathematics, India , RANJINI, P. S. Don Bosco Institute of Technology - Department of Mathematics, India
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 paper, expressions for the Harary indices of the join, corona product, Cartesian product, composition and symmetric difference of graphs are derived.
Keywords :
harmonic index , graph operations , topological indices , graphs
Journal title :
Transactions on Combinatorics
Journal title :
Transactions on Combinatorics
