Nestings of Matchings and Permutations and North Steps in PDSAWs - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2008

Nestings of Matchings and Permutations and North Steps in PDSAWs

Résumé

We present a simple bijective proof of the fact that matchings of $[2n]$ with N nestings are equinumerous to $\textit{partially directed self avoiding walks}$ confined to the symmetric wedge defined by $y= \pm x$, with $n$ east steps and $N$ north steps. A very similar construction connects permutations with $N$ nestings and $\textit{PDSAWs}$ remaining below the $x$-axis, again with $N$ north steps. Furthermore, both bijections transport several combinatorially meaningful parameters.
Fichier principal
Vignette du fichier
dmAJ0159.pdf (157.03 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01185145 , version 1 (19-08-2015)

Identifiants

Citer

Martin Rubey. Nestings of Matchings and Permutations and North Steps in PDSAWs. 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), 2008, Viña del Mar, Chile. pp.691-704, ⟨10.46298/dmtcs.3611⟩. ⟨hal-01185145⟩

Collections

TDS-MACS
44 Consultations
536 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More