S. YOUSEFI and A. R. ASHRAFI (2006) An exact expression for the Wiener index of a polyhex nanotorus

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An exact expression for the Wiener index of a polyhex nanotorus

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CONTRIBUTORS:

	Author:	S. YOUSEFI
	Author:	A. R. ASHRAFI

JOURNAL:

Match, 56(1), 169 - 178.

YEAR:

2006

PUB TYPE:

Journal Article

SUBJECT(S):

chemistry - mathematical

DISCIPLINE:

Chemistry

HTTP:

http://lori.academicdirect.org/cites/51.pdf

LANGUAGE:

English

PUB ID:

103-436-121 (Last edited on 2007/07/09 08:24:30 GMT-6)

SPONSOR(S):

ABSTRACT:
The Wiener index of a graph G is defined as W(G) = 1/2嚁 [x,y]V (G)d(x,y), where V(G) is the set of all vertices of G and for x,y V(G), d(x,y) denotes the length of a minimal path between x and y. In this paper an algorithm for computing the distance matrix of a polyhex nanotorus T = T[p,q] is given. Using this matrix, we obtain an exact expression for the Wiener index of T. We prove that: (Equation presented).

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