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On the Harary index of graph operations
Journal article   Open access  Peer reviewed

On the Harary index of graph operations

Kinkar C. Das, Kexiang Xu, Ismail Naci Cangul, Ahmet Sinan Cevik and Ante Graovac
Journal of inequalities and applications, Vol.2013(1), pp.339-339
24/07/2013
DOI: https://doi.org/10.1186/1029-242X-2013-339

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.1186/1029-242X-2013-339View
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