Remarks on Fowler-Manolopoulos predictor of fullerene stability

Abstract

We present a relation between the Fowler-Manolopoulos predictor of fullerene stability, defined as the standard deviation of the hexagon neighbor indices, and the counts of a few simple fullerene substructures made up jointly from pentagons and hexagons. This result extends the previous approach of Ju et al. [MATCH Commun. Math. Comput. Chem. 64 (2010) 419-424) that was applicable to isolated pentagon fullerenes only.