Hyperbolic analogues of fullerenes on orientable surfaces

DOI10.1016/j.disc.2011.11.009zbMath1239.05184OpenAlexW1988671313MaRDI QIDQ409420

Mathieu Dutour Sikirić, Primož Potočnik, Riste Škrekovski, Martin Knor, Jozef Širáň

Publication date: 13 April 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.11.009

zbMATH Keywords

fullerenecubic maporientable mappolyhedral mappolyhex

Mathematics Subject Classification ID

Applications of graph theory (05C90) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (4)

Lego-like spheres and tori ⋮ On the genus of generalized unit and unitary Cayley graphs of a commutative ring ⋮ Hyperbolic analogues of fullerenes with face-types (6, 9) and (6, 10) ⋮ Statistical properties of carbon nanostructures

Uses Software

• CaGe

Cites Work

• An Eberhard-like theorem for pentagons and heptagons
• The forcing number of toroidal polyhexes
• \(k\)-resonance in toroidal polyhexes
• On a conjecture by B. Grünbaum
• Solution of the heawood map-coloring problem—Cases 3, 5, 6, and 9
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