On the Harary index of graph operations

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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. © 2013 Das et al.

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APA

Das, K. C., Xu, K., Cangul, I. N., Cevik, A. S., & Graovac, A. (2013). On the Harary index of graph operations. Journal of Inequalities and Applications, 2013. https://doi.org/10.1186/1029-242X-2013-339

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