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Study of Fullerenes by Some New Topological Index

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Topological Modelling of Nanostructures and Extended Systems

Abstract

A molecular graph is a graph such that its vertices correspond to the atoms and the edges to the bonds of a given molecule. Fullerenes are molecules in the form of polyhedral closed cages made up entirely of n three-coordinate carbon atoms and having 12 pentagonal and (n/2–10) hexagonal faces, where n is equal or greater than 20. The molecular graph of a fullerene is called fullerene graph. In this chapter, the fullerene graphs under two new distance-based topological indices are investigated. Some open questions are also presented.

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Correspondence to Ali Reza Ashrafi .

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© 2013 Springer Science+Business Media Dordrecht

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Ashrafi, A.R., Iranmanesh, M.A., Yarahmadi, Z. (2013). Study of Fullerenes by Some New Topological Index. In: Ashrafi, A., Cataldo, F., Iranmanesh, A., Ori, O. (eds) Topological Modelling of Nanostructures and Extended Systems. Carbon Materials: Chemistry and Physics, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6413-2_14

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