Clar Structure and Fries Set of Fullerenes and (4,6)-Fullerenes on Surfaces

Fowler and Pisanski showed that the Fries number for a fullerene on surface Σ is bounded above by |V|/3, and fullerenes which attain this bound are exactly the class of leapfrog fullerenes on surface Σ. We showed that the Clar number of a fullerene on surface Σ is bounded above by (|V|/6)-χ(Σ), wher...

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Bibliographic Details
Main Authors: Yang Gao, Heping Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/196792