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Article Dans Une Revue Discrete Mathematics Année : 2010

Fulleroids with dihedral symmetry

Résumé

Fulleroids are cubic convex polyhedra with faces of size 5 or greater. They are suitable as models of hypothetical all-carbon molecules. In this paper, sufficient and necessary conditions for existence of fulleroids of dihedral symmetry types and with pentagonal and n-gonal faces only depending on number n are presented. Either infinite series of examples are found to prove existence, or nonexistence is proved using symmetry invariants.
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hal-00966748 , version 1 (27-03-2014)

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  • HAL Id : hal-00966748 , version 1

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František Kardoš. Fulleroids with dihedral symmetry. Discrete Mathematics, 2010, 310 (3), pp.652-661. ⟨hal-00966748⟩

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