On octahedral fulleroids

Jendrol S; Kardos F

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On octahedral fulleroids

机译：关于八面体富勒烯

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The discovery of the first fullerene has raised an interest in the study of other candidates for modelling of carbon molecules. As a generalization of the fullerenes, fulleroids are defined as cubic convex polyhedra with all the faces of size five or greater. In this paper, we give necessary and sufficient condition for the existence of fulleroids with only pentagonal and n-gonal faces and with the symmetry group isomorphic to the full symmetry group of the regular octahedron. The existence is proved by finding infinite series of examples. The nonexistence is proved using symmetry invariants. (C) 2007 Elsevier B.V. All rights reserved.

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《Discrete Applied Mathematics》 |2007年第16期|共6页
作者
Jendrol S; Kardos F;
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正文语种 eng
中图分类离散数学;
关键词
fulleroid; octahedral group; symmetry group; convex polyhedron; cubic plane graph; FULLERENES; SYMMETRIES;

机译：富勒烯;八面体群;对称群;凸多面体;立方平面图;富勒烯;对称;

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On octahedral fulleroids

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