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Discrete Applied Mathematics
Article . 2024 . Peer-reviewed
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Article . 2023
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Article . 2024
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https://doi.org/10.2139/ssrn.4...
Article . 2023 . Peer-reviewed
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Article . 2023
License: CC BY
Data sources: Datacite
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Article . 2024
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Outerplane Bipartite Graphs with Isomorphic Resonance Graphs

Outerplane bipartite graphs with isomorphic resonance graphs
Authors: Simon Brezovnik; Zhongyuan Che; Niko Tratnik; Petra Zigert Pletersek;

Outerplane Bipartite Graphs with Isomorphic Resonance Graphs

Abstract

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.

Country
Slovenia
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Top 10%
Green
hybrid
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