Work

Outerplane bipartite graphs with isomorphic resonance graphs

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2306.07611

Authors: Brezovnik, Simon, Che, Zhongyuan, Tratnik, Niko, Pleteršek, Petra Žigert

Institutions: University of Ljubljana, Institute of Mathematics, Physics, and Mechanics, University of Maribor

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Javna Agencija za Raziskovalno Dejavnost RS

Awards: Graph theory, Metric Problems in Graphs and Hypergraphs, Novel Environmentally Acceptable Thin Surface Coating Corrosion Inhibitor Formulations: Their Mechanism and Application

OpenAlex ID: W4380714634

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