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CONTRIBUTORS:
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JOURNAL:
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YEAR:
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2006
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PUB TYPE:
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Journal Article
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SUBJECT(S):
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Mathematical chemistry
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DISCIPLINE:
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Chemistry
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HTTP:
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LANGUAGE:
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English
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PUB ID:
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103-434-876
(Last edited on
2007/06/05 03:46:32 GMT-6)
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SPONSOR(S):
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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 ¡Ý 1, q ¡Ý 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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STATISTICS
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