Publication: On the Harary index of graph operations
Date
Authors
Cangül, İsmail Naci
Authors
Das, Kinkar C.
Xu, Kexiang
Çevik, Ahmet Sinan
Graovac, Ante
Advisor
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Type
Publisher:
Springer
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Volume Title
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
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Keywords:
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.