  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.
