On octahedral fulleroids

نویسندگان

  • Stanislav Jendrol
  • Frantisek Kardos
چکیده

The discovery of the fullerene has raised an interest in the study of other candidates for modeling of carbon molecules. Motivated by works of P. Fowler, Delgado Friedrichs and Deza, Oh(a, b)-fulleroids were defined as cubic convex polyhedra having only a-gonal and bgonal faces and the symmetry group isomorphic with the full symmetry group of regular octahedron. In this paper we give sufficient and necessary condition for existence of Oh(5, n)-fulleroids depending on number n either by finding infinite series of examples to prove existence or proving nonexistence using symmetry invariants.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 155  شماره 

صفحات  -

تاریخ انتشار 2007