\(k\)-resonance in toroidal polyhexes

DOI10.1007/s10910-004-6897-4zbMath1096.92066OpenAlexW2053217301MaRDI QIDQ2503687

Wai Chee Shiu, Heping Zhang, Peter Che Bor Lam

Publication date: 22 September 2006

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

Full work available at URL: https://doi.org/10.1007/s10910-004-6897-4

zbMATH Keywords

fullereneKekulé structure\(k\)-resonancetoroidal polyhex

Mathematics Subject Classification ID

Applications of graph theory (05C90) Planar graphs; geometric and topological aspects of graph theory (05C10) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

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Cites Work

• Matching theory
• When each hexagon of a hexagonal system covers it
• \(k\)-resonance of open-ended carbon nanotubes
• Plane elementary bipartite graphs
• Uniqueness and faithfulness of embedding of toroidal graphs
• Resonance in elemental benzenoids
• The Clar covering polynomial of hexagonal systems. I
• Tilings of the Torus and the Klein Bottle and Vertex-Transitive Graphs on a Fixed Surface