Lego-like spheres and tori

DOI10.1007/s10910-016-0706-8zbMath1373.92149OpenAlexW2553716256WikidataQ56003537 ScholiaQ56003537MaRDI QIDQ2362132

Mathieu Dutour Sikirić, Michel Marie Deza

Publication date: 6 July 2017

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-016-0706-8

zbMATH Keywords

combinatorial enumerationtoriplane graphsface decomposition

Mathematics Subject Classification ID

Applications of graph theory (05C90) Planar graphs; geometric and topological aspects of graph theory (05C10) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Uses Software

• MiniSat
• libexact
• GitHub

Cites Work

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• Hyperbolic analogues of fullerenes on orientable surfaces
• Zigzag and central circuit structure of \((\{1,2,3\}, 6)\)-spheres
• Aromaticity of corazulenic fullerenes
• The construction of cubic and quartic planar maps with prescribed face degrees
• Goldberg-Coxeter construction for 3- and 4-valent plane graphs
• Geometric structure of chemistry-relevant graphs. Zigzags and central circuits
• Complex parametrization of triangulations on oriented maps
• Introduction to Mathematics of Satisfiability
• Theory and Applications of Satisfiability Testing

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