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arXiv · 2306.07611

Outerplane bipartite graphs with isomorphic resonance graphs

Simon Brezovnik·Zhongyuan Che·Niko Tratnik·Petra Žigert Pleteršek
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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.

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Simon Brezovnik, Zhongyuan Che, Niko Tratnik, Petra Žigert Pleteršek. 2023-06-13. Outerplane bipartite graphs with isomorphic resonance graphs. https://doi.org/10.1016/j.dam.2023.11.006

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