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Resonance graphs of kinky benzenoid systems are daisy cubes

Published 20 Oct 2017 in math.CO | (1710.07501v1)

Abstract: Klav\v{z}ar and Mollard introduced daisy cubes which are interesting isometric subgraphs of $ n$-cubes $Q_n$, induced with intervals between the maximal elements of a poset $ (V (Q_n),\leq)$ and the vertex $ 0n \in V (Q_n)$. In this paper we show that the resonance graph, which reflects the interaction between Kekul\'{e} structures of aromatic hydrocarbon molecules, is a daisy cube, if the molecules considered can be modeled with the so called kinky benzenoid systems, i.e. catacondensed benzenoid systems without linear hexagons.

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