Maximally resonant polygonal systems

DOI10.1016/j.disc.2010.06.011zbMath1227.05212OpenAlexW2099452426MaRDI QIDQ710568

Heping Zhang, Saihua Liu

Publication date: 19 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2010.06.011

zbMATH Keywords

perfect matchinginner dualresonant systemk-resonancepolygonal system

Mathematics Subject Classification ID

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

Related Items (4)

On maximal resonance of polyomino graphs ⋮ Hexagonal resonance of (3,6)-fullerenes ⋮ On \(k\)-resonance of grid graphs on the plane, torus and cylinder ⋮ 2-extendability and \(k\)-resonance of non-bipartite Klein-bottle polyhexes

Cites Work

• 2-resonance of plane bipartite graphs and its applications to boron-nitrogen fullerenes
• Maximal resonance of cubic bipartite polyhedral graphs
• A complete characterization for \(k\)-resonant Klein-bottle polyhexes
• \(k\)-resonant toroidal polyhexes
• When each hexagon of a hexagonal system covers it
• Generalized hexagonal systems with each hexagon being resonant
• Perfect matchings of polyomino graphs
• \(k\)-resonance of open-ended carbon nanotubes
• Plane elementary bipartite graphs
• \(k\)-resonance in toroidal polyhexes
• Onk-Resonant Fullerene Graphs
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