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arXiv · 1704.08474

The Graovac-Pisanski Index of Armchair Nanotubes

Niko Tratnik·Petra Žigert Pleteršek
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Abstract

The Graovac-Pisanski index, which is also called the modified Wiener index, considers the symmetries and the distances in molecular graphs. Carbon nanotubes are molecules made of carbon with a cylindrical structure possessing unusual valuable properties. In a mathematical model we can consider them as a subgraph of a hexagonal lattice embedded on a cylinder with some vertices being identified. In the present paper, we investigate the automorphisms and the orbits of armchair nanotubes and derive the closed formulas for their Graovac-Pisanski index.

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Niko Tratnik, Petra Žigert Pleteršek. 2017-04-27. The Graovac-Pisanski Index of Armchair Nanotubes. https://doi.org/10.1007/s10910-017-0846-5

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