Author:

Keywords:

negative curvature, chemical-structures, carbon, surfaces, genus, Science & Technology, Physical Sciences, Technology, Chemistry, Multidisciplinary, Computer Science, Information Systems, Computer Science, Interdisciplinary Applications, Chemistry, Computer Science, NEGATIVE CURVATURE, CHEMICAL-STRUCTURES, CARBON, SURFACES, GENUS, 0304 Medicinal and Biomolecular Chemistry, 0307 Theoretical and Computational Chemistry, 0802 Computation Theory and Mathematics, Medicinal & Biomolecular Chemistry, 3404 Medicinal and biomolecular chemistry, 3407 Theoretical and computational chemistry

Abstract:

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 Mobius-Kantor graph. Considering the derived 2-cell embeddings as carbon networks leads to some interesting negative curvature carbon allotropes.