English

Resonance graphs of kinky benzenoid systems are daisy cubes

Combinatorics 2017-10-23 v1

Abstract

Klav\v{z}ar and Mollard introduced daisy cubes which are interesting isometric subgraphs of n n-cubes QnQ_n, induced with intervals between the maximal elements of a poset (V(Qn),) (V (Q_n),\leq) and the vertex 0nV(Qn) 0^n \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.

Keywords

Cite

@article{arxiv.1710.07501,
  title  = {Resonance graphs of kinky benzenoid systems are daisy cubes},
  author = {Petra Žigert Pleteršek},
  journal= {arXiv preprint arXiv:1710.07501},
  year   = {2017}
}