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J Chem Inf Comput Sci. 2004 Sep-Oct;44(5):1552-64.

Oriented 2-cell embeddings of a graph and their symmetry classification: generating algorithms and case study of the möbius-kantor graph.

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  • 1Departement Chemie, K.U. Leuven, Celestijnenlaan 200F, B-3001 Leuven, Belgium.


We discuss a method to derive all symmetry-distinct oriented 2-cell embeddings of a given graph and classify them based on their symmetry. As an example, we apply the algorithm to the highly symmetrical trivalent Möbius-Kantor graph. Considering the derived 2-cell embeddings as carbon networks leads to some interesting negative curvature carbon allotropes.

Copyright 2004 American Chemical Society

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