Extensions of partial cyclic orders, Euler numbers and multidimensional boustrophedons - Archive ouverte HAL Access content directly
Journal Articles The Electronic Journal of Combinatorics Year : 2018

Extensions of partial cyclic orders, Euler numbers and multidimensional boustrophedons

(1)
1

Abstract

We enumerate total cyclic orders on {1,...,n} where we prescribe the relative cyclic order of consecutive triples (i,i+1,i+2), these indices being taken modulo n. In some cases, the problem reduces to the enumeration of descent classes of permutations, which is done via the boustrophedon construction. In other cases, we solve the question by introducing mul-tidimensional versions of the boustrophedon. In particular we find new interpretations for the Euler up/down numbers and the Entringer numbers .
Fichier principal
Vignette du fichier
Partial_cyclic_orders.pdf (518.98 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

ensl-01651041 , version 1 (28-11-2017)
ensl-01651041 , version 2 (02-12-2022)

Identifiers

Cite

Sanjay Ramassamy. Extensions of partial cyclic orders, Euler numbers and multidimensional boustrophedons. The Electronic Journal of Combinatorics, 2018, 25 (1), Paper #P1.66. ⟨10.37236/7145⟩. ⟨ensl-01651041v2⟩
48 View
51 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More