The Hyper‐Wiener Index of Trees of Order n with Diameter d

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

Discrete Dynamics in Nature and Society, 2016, vol. 2016, issue 1

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 WW(G) is defined as WW(G)=1/2∑u,v∈VGdGu,v+dG2u,v with the summation going over all pairs of vertices in G, and dG(u, v) denotes the distance of the two vertices u and v in the graph G. In this paper, we obtain the second‐minimum hyper‐Wiener indices among all the trees with n vertices and diameter d and characterize the corresponding extremal graphs.

Date: 2016
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https://doi.org/10.1155/2016/7241349

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnddns:v:2016:y:2016:i:1:n:7241349

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