Article ID Journal Published Year Pages File Type
419373 Discrete Applied Mathematics 2013 6 Pages PDF
Abstract

It is known that the Fries number for a fullerene Γ=(V,E,F)Γ=(V,E,F) is bounded above by |V|3 and the fullerenes that attain this bound have been characterized. The corresponding bound for the Clar number is |V|6−2. In this paper, we characterize the fullerenes for which this bound is attained, and also characterize the fullerenes for which the upper bounds for the Clar and the Fries number are simultaneously achieved.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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