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Journal articles
Extensions of partial cyclic orders and consecutive coordinate polytopes
Abstract : We introduce several classes of polytopes contained in [0, 1] n and cut out by inequalities involving sums of consecutive coordinates , extending a construction by Stanley. We show that the normalized volumes of these polytopes enumerate the extensions to total cyclic orders of certains classes of partial cyclic orders. We also provide a combinatorial interpretation of the Ehrhart h *-polynomials of some of these polytopes in terms of descents of total cyclic orders. The Euler numbers, the Eulerian numbers and the Narayana numbers appear as special cases.
Cited literature [23 references]
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01745941
Contributor : Sanjay Ramassamy Connect in order to contact the contributor
Submitted on : Saturday, June 29, 2019 - 12:35:04 PM
Last modification on : Tuesday, October 19, 2021 - 11:26:22 AM
Contributor : Sanjay Ramassamy Connect in order to contact the contributor
Submitted on : Saturday, June 29, 2019 - 12:35:04 PM
Last modification on : Tuesday, October 19, 2021 - 11:26:22 AM
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