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HYPER-WIENER INDEX OF ZIGZAG POLYHEX NANOTUBES

Part of: Graph theory

Published online by Cambridge University Press:  01 July 2008

MEHDI ELIASI  and
BIJN TAERI
MEHDI ELIASI
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran (email: eliasi@math.iut.ac.ir)
BIJN TAERI*
Affiliation:
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran (email: b.taeri@cc.iut.ac.ir)
*
✉For correspondence; e-mail: b.taeri@math.iut.ac.ir
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Abstract

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The hyper-Wiener index of a connected graph G is defined as , where V (G) is the set of all vertices of G and d(u,v) is the distance between the vertices u,v∈V (G). In this paper we find an exact expression for the hyper-Wiener index of TUHC6[2p,q], the zigzag polyhex nanotube.

Keywords

topological indexdistancehyper-Wiener indexnanotubes

MSC classification

Secondary: 05C12: Distance in graphs
Type
Research Article
Information
The ANZIAM Journal , Volume 50 , Issue 1 , July 2008 , pp. 75 - 86
Copyright
Copyright © Australian Mathematical Society 2009

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