An exact expression for the Wiener index of a polyhex nanotorus
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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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103-434-877
(Last edited on
2007/06/05 03:54:35 GMT-6)
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SPONSOR(S):
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ABSTRACT:
The Wiener index of a graph G is defined as W(G) = 1/2 [x,y]šV(G)d(x,y), where V(G) is the set of all vertices of G and for x,y ļ 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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