Distance Property of Fullerenes

GRAOVAC, A.; ORI, O.; FAGHANI, M.; ASHRAFI, A. R.

doi:10.22052/ijmc.2011.5174

Distance Property of Fullerenes

Document Type : Research Paper

Authors

A. GRAOVAC ¹

O. ORI ²

M. FAGHANI ³

A. R. ASHRAFI ³

¹ University of Split, Croatia

² Via Casilina Rome, Italy

³ University of Kashan, I. R. Iran

10.22052/ijmc.2011.5174

Abstract

Fullerenes are closed−cage carbon molecules formed by 12 pentagonal and n/2 – 10 hexagonal faces, where n is the number of carbon atoms. Patrick Fowler in his lecture in MCC 2009 asked about the Wiener index of fullerenes in general. In this paper we respond partially to this question for an infinite class of fullerenes with exactly 10n carbon atoms. Our method is general and can be applied to fullerene graphs with centrosymmetric adjacency matrix.

Keywords

Fullerene

Wiener index

Centrosymmetric matrix