Resonance graphs of catacondensed even ring systems

Simon Brezovnik, Niko Tratnik and Petra Žigert Pleteršek

Applied Mathematics and Computation, 2020, vol. 374, issue C

Abstract: A catacondensed even ring system (shortly CERS) is a simple bipartite 2-connected outerplanar graph with all vertices of degree 2 or 3. In this paper, we investigate the resonance graphs (also called Z-transformation graphs) of CERS and firstly show that two even ring chains are evenly homeomorphic iff their resonance graphs are isomorphic. As the main result, we characterize CERS whose resonance graphs are daisy cubes. In this way, we greatly generalize the result known for kinky benzenoid graphs. Finally, some open problems are also presented.

Keywords: Catacondensed even ring system; Resonance graph; Daisy cube (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:374:y:2020:i:c:s0096300320300333

DOI: 10.1016/j.amc.2020.125064

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