\(k\)-resonant toroidal polyhexes

DOI10.1007/s10910-007-9310-2zbMath1379.05031OpenAlexW2049301337MaRDI QIDQ937704

Heping Zhang, Dong Ye

Publication date: 15 August 2008

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

Full work available at URL: https://doi.org/10.1007/s10910-007-9310-2

zbMATH Keywords

perfect matching\(k\)-resonantresonant patterntoroidal polyhex

Mathematics Subject Classification ID

Applications of graph theory (05C90) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (9)

2-resonance of plane bipartite graphs and its applications to boron-nitrogen fullerenes ⋮ Maximal resonance of cubic bipartite polyhedral graphs ⋮ On maximal resonance of polyomino graphs ⋮ A characterization of 1-cycle resonant graphs among bipartite 2-connected plane graphs ⋮ Hexagonal resonance of (3,6)-fullerenes ⋮ On \(k\)-resonance of grid graphs on the plane, torus and cylinder ⋮ Face-width of Pfaffian braces and polyhex graphs on surfaces ⋮ 2-extendability and \(k\)-resonance of non-bipartite Klein-bottle polyhexes ⋮ Maximally resonant polygonal systems

Cites Work

• A complete characterization for \(k\)-resonant Klein-bottle polyhexes
• When each hexagon of a hexagonal system covers it
• Generalized hexagonal systems with each hexagon being resonant
• \(k\)-resonance of open-ended carbon nanotubes
• Plane elementary bipartite graphs
• Uniqueness and faithfulness of embedding of toroidal graphs
• The Clar covering polynomial of hexagonal systems. I
• \(k\)-resonance in toroidal polyhexes
• Construction and enumeration of regular maps on the torus
• Tilings of the Torus and the Klein Bottle and Vertex-Transitive Graphs on a Fixed Surface
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