On the Harary index of graph operations
Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, expressions for the Harary indices of the join, corona product, Cartesian product, composition and disjunction of graphs are derived and the indices for some well-known graphs are evaluated. In derivations some terms appear which are similar to the Harary index and we name them the second and third Harary index.
Description
Keywords
Mathematics, Graph, Harary index, Graph operations, Wiener index, Topological indexes, Hyper-wiener, Trees
Citation
Das, K. C. vd. (2013). "On the Harary index of graph operations". Journal of Inequalities and Applications, 2013.