Outerplane bipartite graphs with isomorphic resonance graphs
DOI10.1016/j.dam.2023.11.006zbMath1529.05075arXiv2306.07611OpenAlexW4388545529MaRDI QIDQ6180693
Petra Žigert Pleteršek, Simon Brezovnik, Niko Tratnik, Zhongyuan Che
Publication date: 2 January 2024
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.07611
distributive latticeorder idealinner dual2-connected outerplane bipartite graphisomorphic resonance digraphsisomorphic resonance graphs
Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Directed graphs (digraphs), tournaments (05C20) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Chemical graph theory (05C92)
Cites Work
- The rotation graphs of perfect matchings of plane bipartite graphs
- Cube-free resonance graphs
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- \(Z\)-transformation graphs of perfect matchings of plane bipartite graphs
- Plane elementary bipartite graphs
- Structural properties of resonance graphs of plane elementary bipartite graphs
- A characterization of the resonance graph of an outerplane bipartite graph
- Z-transformation graphs of perfect matchings of hexagonal systems
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- Decomposition theorem on matchable distributive lattices
- Peripheral convex expansions of resonance graphs
- Resonance Graphs and a Binary Coding for the 1-Factors of Benzenoid Systems
- 1-factors and characterization of reducible faces of plane elementary bipartite graphs
- Resonantly Equivalent Catacondensed Even Ring Systems
- Resonance Graphs and a Binary Coding of Perfect Matchings of Outerplane Bipartite Graphs
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