On the harmonic index of graph operations

نویسندگان
Lokesha, V. ID 1
Ranjini, P. S. ID 2
Shwetha Shetty, B. ID 3

1 Dept.of Mathematics, VSK University,Bellary Karnataka

2 Don Bosco Institute of Technology, Bangalore-78, India

3 Don Bosco Institute of Technology, Bangalore-78, India

doi
10.22108/toc.2015.7389
چکیده

‎‎The harmonic index of a connected graph $G$‎, ‎denoted by $H(G)$‎, ‎is‎ ‎defined as $H(G)=\sum_{uv\in E(G)}\frac{2}{d_u+d_v}$‎ ‎where $d_v$ 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.  

کلیدواژه‌ها
harmonic index, Graph operations, Topological indices, graphs