The Hyper-Wiener Index of Trees of Ordernwith Diameterd

Autor:	Fuad E. Alsaadi, A. Alsaedi, Guidong Yu, Jinde Cao, Gaixiang Cai
Rok vydání:	2016
Předmět:	Discrete mathematics Graph center 010102 general mathematics Wiener index 01 natural sciences Graph 010101 applied mathematics Combinatorics Modeling and Simulation Level structure Path graph 0101 mathematics Distance Mathematics
Zdroj:	Discrete Dynamics in Nature and Society. 2016:1-5
ISSN:	1607-887X 1026-0226
DOI:	10.1155/2016/7241349
Popis:	The hyper-Wiener index is a kind of extension of the Wiener index, used for predicting physicochemical properties of organic compounds. The hyper-Wiener indexWW(G)is defined asWW(G)=1/2∑u,v∈VGdGu,v+dG2u,vwith the summation going over all pairs of vertices inG, anddGu,vdenotes the distance of the two verticesuandvin the graphG. In this paper, we obtain the second-minimum hyper-Wiener indices among all the trees withnvertices and diameterdand characterize the corresponding extremal graphs.
Databáze:	OpenAIRE
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