An Involution on Dyck Paths That Preserves the Rise Composition and Interchanges the Number of Returns and the Position of the First Double Fall
Séminaire lotharingien de combinatoire, Tome 77 (2017-2018)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Motivated by a recent paper of Adin, Bagno and Roichman, we present an involution on Dyck paths that preserves the rise composition and interchanges the number of returns and the position of the first double fall.

@article{SLC_2017-2018_77_a5,
     author = {Martin Rubey},
     title = {An {Involution} on {Dyck} {Paths} {That} {Preserves} the {Rise} {Composition} and {Interchanges} the {Number} of {Returns} and the {Position} of the {First} {Double} {Fall}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {77},
     year = {2017-2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017-2018_77_a5/}
}
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Martin Rubey. An Involution on Dyck Paths That Preserves the Rise Composition and Interchanges the Number of Returns and the Position of the First Double Fall. Séminaire lotharingien de combinatoire, Tome 77 (2017-2018). http://geodesic.mathdoc.fr/item/SLC_2017-2018_77_a5/