Two injective proofs of a conjecture of Simion

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dc.creatorBóna, Miklós
dc.creatorSagan, Bruce E.
dc.date2002-09-20
dc.date.accessioned2026-07-07T04:51:05Z
dc.date.available2026-07-07T04:51:05Z
dc.descriptionSimion conjectured the unimodality of a sequence counting lattice paths in a grid with a Ferrers diagram removed from the northwest corner. Recently, Hildebrand and then Wang proved the stronger result that this sequence is actually log concave. Both proofs were mainly algebraic in nature. We give two combinatorial proofs of this theorem.
dc.description6 pages, 3 figures, Latex, see related papers at http://www.math.msu.edu/~sagan
dc.identifierhttps://arxiv.org/abs/math/0209276
dc.identifierhttp://arxiv.org/abs/math/0209276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65022
dc.subjectCombinatorics
dc.subject05A20 (Primary) 05A17, 05E99 (Secondary)
dc.titleTwo injective proofs of a conjecture of Simion
dc.typetext

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