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We present novel results related to isomorphic resonance graphs of2-connected outerplane bipartite graphs. As the main result, we provide astructure characterization for 2-connected outerplane bipartite graphs withisomorphic resonance graphs. Moreover, two additional characterizations areexpressed in terms of resonance digraphs and via local structures of innerduals of 2-connected outerplane bipartite graphs, respectively.

Outerplane bipartite graphs with isomorphic resonance graphs