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arXiv · 1710.07501

Resonance graphs of kinky benzenoid systems are daisy cubes

Petra Žigert Pleteršek
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Abstract

Klavžar 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 $ 0^n \in V (Q_n)$. In this paper we show that the resonance graph, which reflects the interaction between Kekulé 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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Petra Žigert Pleteršek. 2017-10-20. Resonance graphs of kinky benzenoid systems are daisy cubes. https://arxiv.org/abs/1710.07501

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