Outerplane bipartite graphs with isomorphic resonance graphs
arXiv:2306.07611 · doi:10.1016/j.dam.2023.11.006
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.