A characterization of 1-cycle resonant graphs among bipartite 2-connected plane graphs

DOI10.1016/j.dam.2011.12.030zbMath1239.05105OpenAlexW1998799246MaRDI QIDQ423951

Sandi Klavžar, Khaled Salem

Publication date: 30 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.dam.2011.12.030

zbMATH Keywords

hexagonal system1-cycle resonant graphalternating cyclebipartite plane graph

Mathematics Subject Classification ID

Applications of graph theory (05C90) Paths and cycles (05C38) Planar graphs; geometric and topological aspects of graph theory (05C10) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Cites Work

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• 2-resonance of plane bipartite graphs and its applications to boron-nitrogen fullerenes
• Maximal resonance of cubic bipartite polyhedral graphs
• \(k\)-resonant toroidal polyhexes
• Matching theory
• On minimal elementary bipartite graphs
• \(k\)-cycle resonant graphs
• Planar \(k\)-cycle resonant graphs with \(k=1,2\)
• Plane elementary bipartite graphs
• \(k\)-resonance in toroidal polyhexes
• Onk-Resonant Fullerene Graphs

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