Resonance graphs of kinky benzenoid systems are daisy cubes

2017/10/20 by Petra Žigert Pleteršek, Pleteršek, Petra Žigert · 2 citations
Chemistry · Mathematics · #05C70 #92E10 #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Molecular spectroscopy and chirality #Synthesis and Properties of Aromatic Compounds

paper · pdf · doi:10.48550/arxiv.1710.07501

openalex publication_date 2017/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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),≤) and the vertex 0ⁿ ∈ 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.

Cited by

• A decomposition structure of resonance graphs that are daisy cubes
• Daisy cubes: a characterization and a generalization

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