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Departement Chemie, K.U. Leuven, Celestijnenlaan 200F, B-3001 Leuven, Belgium. erwin.lijnen@chem.kuleuven.ac.be
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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