On \(k\)-resonance of grid graphs on the plane, torus and cylinder

DOI10.1007/s10910-014-0347-8zbMath1301.05267OpenAlexW2019705073MaRDI QIDQ460936

Youchuang Lin, Jianping Ou, Saihua Liu

Publication date: 9 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10910-014-0347-8

zbMATH Keywords

grid graphs\(k\)-resonantmaximally resonant

Mathematics Subject Classification ID

Applications of graph theory (05C90) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Cites Work

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• 2-extendability and \(k\)-resonance of non-bipartite Klein-bottle polyhexes
• 2-resonance of plane bipartite graphs and its applications to boron-nitrogen fullerenes
• Maximal resonance of cubic bipartite polyhedral graphs
• Maximally resonant polygonal systems
• A complete characterization for \(k\)-resonant Klein-bottle polyhexes
• \(k\)-resonant toroidal polyhexes
• Matching theory
• Combinatorial properties of polyominoes
• Chessboard domination problems
• Perfect matchings of polyomino graphs
• \(k\)-resonance of open-ended carbon nanotubes
• The flagged Cauchy determinant
• Resonance in elemental benzenoids
• On maximal resonance of polyomino graphs
• \(k\)-resonance in toroidal polyhexes
• Onk-Resonant Fullerene Graphs
• King and domino polynomials for polyomino graphs

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