Face-spiral codes in cubic polyhedral graphs with face sizes no larger than 6

DOI10.1007/s10910-012-0029-3zbMath1307.52007OpenAlexW2085973746MaRDI QIDQ1930473

Mohammadreza Jooyandeh, Gunnar Brinkmann, Patrick W. Fowler

Publication date: 11 January 2013

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

Full work available at URL: https://doi.org/10.1007/s10910-012-0029-3

zbMATH Keywords

polyhedragraphsgraph algorithmschemical nomenclatureface-spiral conjectureface-spirals

Mathematics Subject Classification ID

Applications of graph theory (05C90) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Uses Software

• CaGe

Cites Work

• Tetrahedral fulleroids
• PentHex puzzles. A reliable and efficient top-down approach to fullerene-structure enumeration
• The construction of cubic and quartic planar maps with prescribed face degrees
• The Number of Hexagons and the Simplicity of Geodesics on Certain Polyhedra
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