Outerplane bipartite graphs with isomorphic resonance graphs
Combinatorics
2025-02-07 v1
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.
Cite
@article{arxiv.2306.07611,
title = {Outerplane bipartite graphs with isomorphic resonance graphs},
author = {Simon Brezovnik and Zhongyuan Che and Niko Tratnik and Petra Žigert Pleteršek},
journal= {arXiv preprint arXiv:2306.07611},
year = {2025}
}