• Corpus ID: 16492464

A direct encoding of Stoimenows matchings as ascent sequences

@article{Claesson2009ADE,
  title={A direct encoding of Stoimenows matchings as ascent sequences},
  author={Anders Claesson and Mark Dukes and Sergey Kitaev},
  journal={Australas. J Comb.},
  year={2009},
  volume={49},
  pages={47-60}
}
In connection with Vassiliev's knot invariants, Stoimenow (1998) introduced certain matchings, also called regular linearized chord diagrams. Bousquet-Melou et al. (2008) gave a bijection from those matchings to unlabeled (2+2)-free posets; they also showed how to encode the posets as so called ascent sequences. In this paper we present a direct encoding of Stoimenow's matchings as ascent sequences. In doing so we give the rules for recursively constructing and deconstructing such matchings. 

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