Abstract

The Harary index and the Wiener index are two well-studied topological indices in chemical graph theory. Quite recently, the graphs attaining the minimum value of the product of the Harary and Wiener indices were characterized in [E. Azjargal, B. Horoldagva, I. Gutman, Minimum of product of Wiener and Harary indices, MATCH Commun. Math. Comput. Chem. 92 (2024) 65-71] over the class of all connected graphs of a fixed order and size. The present paper provides a generalization, involving Wiener-type topological indices and their reciprocals, of the aforementioned result.

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