Hyperbolic analogues of fullerenes with face-types (6, 9) and (6, 10)

DOI10.1016/j.disc.2015.08.001zbMath1322.05132OpenAlexW1154206556MaRDI QIDQ501035

Martin Knor, Maryam Verdian-Rizi

Publication date: 8 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.disc.2015.08.001

zbMATH Keywords

fullerenepolyhedral mapface-typenumber of hexagons

Mathematics Subject Classification ID

Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Uses Software

• CaGe

Cites Work

• Hyperbolic analogues of fullerenes on orientable surfaces
• Orientable triangular embeddings of K\(_{18}\)-K\(_3\) and K\(_{13}\)-K\(_3\)
• On a conjecture by B. Grünbaum
• Solution of the heawood map-coloring problem—Cases 3, 5, 6, and 9
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