A Simple Proof of a Conjecture of Simion

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Simion had a unimodality conjecture concerning the number of lattice paths in a rectangular grid with the Ferrers diagram of a partition removed. Hildebrand recently showed the stronger result that these numbers are log concave. Here we present a simple proof of Hildebrand's result.
4 pages

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Combinatorics, 05A17

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http://salesiana.dossiersoluciones.com/handle/123456789/168741

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.1604
 http://arxiv.org/abs/0809.1604
 J. Combin. Theory Ser. A 100 (2002), 399--402

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arXiv