
arXiv: 2306.07611
We present novel results related to isomorphic resonance graphs of 2-connected outerplane bipartite graphs. As the main result, we provide a structure characterization for 2-connected outerplane bipartite graphs with isomorphic resonance graphs. Moreover, two additional characterizations are expressed in terms of resonance digraphs and via local structures of inner duals of 2-connected outerplane bipartite graphs, respectively.
05C10 05C70 05C60 05C92, idealno naročilo, distributive lattice, inner dual, isomorphic resonance graphs, order ideal, 2-connected outerplane bipartite graph, izomorfni resonančni grafi, Directed graphs (digraphs), tournaments, distributive lattice, Matematika., info:eu-repo/classification/udc/519.17, isomorphic resonance digraphs, razdelilna rešetka, Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), FOS: Mathematics, Mathematics - Combinatorics, Stohastični procesi., 2-connected outerplane bipartite graph, inner dual, razdelilna rešetka, notranja dvojina, izomorfni resonančni grafi, idealno naročilo, dvojno povezan zunanji ravninski bipartitni graf, ne zaključna dela, ne zaključna dela, Chemical graph theory, order ideal, distributive lattice,inner dual,isomorphic resonance graphs,order ideal,2-connected outerplane bipartite graph, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Teorija grafov., dvojno povezan zunanji ravninski bipartitni graf, notranja dvojina, Metrični prostori., Combinatorics (math.CO), isomorphic resonance graphs
05C10 05C70 05C60 05C92, idealno naročilo, distributive lattice, inner dual, isomorphic resonance graphs, order ideal, 2-connected outerplane bipartite graph, izomorfni resonančni grafi, Directed graphs (digraphs), tournaments, distributive lattice, Matematika., info:eu-repo/classification/udc/519.17, isomorphic resonance digraphs, razdelilna rešetka, Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), FOS: Mathematics, Mathematics - Combinatorics, Stohastični procesi., 2-connected outerplane bipartite graph, inner dual, razdelilna rešetka, notranja dvojina, izomorfni resonančni grafi, idealno naročilo, dvojno povezan zunanji ravninski bipartitni graf, ne zaključna dela, ne zaključna dela, Chemical graph theory, order ideal, distributive lattice,inner dual,isomorphic resonance graphs,order ideal,2-connected outerplane bipartite graph, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Teorija grafov., dvojno povezan zunanji ravninski bipartitni graf, notranja dvojina, Metrični prostori., Combinatorics (math.CO), isomorphic resonance graphs
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