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On the Combinatorial Characterization of Fullerene Graphs

Author(s): Tamás Réti | István László

Journal: Acta Polytechnica Hungarica
ISSN 1785-8860

Volume: 6;
Issue: 5;
Start page: 85;
Date: 2009;
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Keywords: graph invariant | pentagon-neighbor signature | prediction of fullerene stability

In order to characterize and classify quantitatively the local topological structureof traditional fullerene graphs a new method has been developed. The concept is based onthe introduction of a finite set of novel topological invarians called pentagon arm indices.The definition of pentagon arm indices is similar to that of well known pentagon adjacencyindices, and their common features is that both of them characterize the local topologicalneighborhood of pentagons included in traditional fullerenes. It will be demonstrated thatpentagon adjacency indices and pentagon arm indices together can be successfullyapplicable for preselecting the stable candidates of lower fullerene isomers Cn with n≤70.
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