H ZHANG, S. XU and Y. YANG (2006) Wiener index of toroidal polyhexes

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Wiener index of toroidal polyhexes

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CONTRIBUTORS:

	Author:	H ZHANG
	Author:	S. XU
	Author:	Y. YANG

JOURNAL:

Match, 56(1), 153 - 168.

YEAR:

2006

PUB TYPE:

Journal Article

SUBJECT(S):

chemistry - mathematical

DISCIPLINE:

Chemistry

HTTP:

http://lori.academicdirect.org/cites/50.pdf

LANGUAGE:

English

PUB ID:

103-436-120 (Last edited on 2007/07/09 08:18:29 GMT-6)

SPONSOR(S):

ABSTRACT:
The Wiener index of a graph is the sum of distances between all pairs of vertices. A toroidal polyhex (or toroidal graphitoid) H (p, q, t) can be described by a string (p, q, t) of three integers (p ¡İ 1, q ¡İ 1, 0 ¡Ü t ¡Ü p - 1). In a recent work (MATCH 45 (2002) 100-122) M.V. Diudea obtained Wiener index formulae for several classes of toroidal nets, including toroidal polyhexes with t ¡Ô -q/2 (mod p). In this paper, we obtain formulae for calculating the Wiener index of toroidal polyhexes H (p, q, t) with either t = 0 or p ¡Ü 2q or p ¡Ü q+t.

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