Hyper Wiener index of zigzag polyhex nanotubes

Mehdi Eliasi, Bijan Taeri

Abstract


The hyper Wiener index of a connected graph $G$ is defined as $WW(G)=\frac{1}{2}\sum_{\{u,v\}\subseteq V(G)}\bigg(d(u,v)+\frac{1}{2}(d(u,v))^2\bigg)$, where $V(G)$ is the set of all vertices of $G$ and $d(u,v)$ is the distance between the vertices $u,v\in V(G)$. In this paper we find an exact expression for hyper Wiener index of $TUHC_6[2p,q]$, the zigzag polyhex nanotube.

doi:10.1017/S1446181108000278

Keywords


topological index; distance; hyper-Wiener index; nanotubes



DOI: http://dx.doi.org/10.21914/anziamj.v50i0.276



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.