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The Hyper-Wiener Index of Trees of Order with Diameter

Gaixiang Cai, Guidong Yu, Jinde Cao, Ahmad Alsaedi and Fuad Alsaadi

Discrete Dynamics in Nature and Society, 2016, vol. 2016, 1-5

Abstract:

The hyper-Wiener index is a kind of extension of the Wiener index, used for predicting physicochemical properties of organic compounds. The hyper-Wiener index is defined as with the summation going over all pairs of vertices in , and denotes the distance of the two vertices and in the graph . In this paper, we obtain the second-minimum hyper-Wiener indices among all the trees with vertices and diameter and characterize the corresponding extremal graphs.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7241349

DOI: 10.1155/2016/7241349

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