A simple proof of a conjecture of Simion

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:100

Article

Wang, Y

关键词: partitions;    log concavity;    lattice paths;    ferrets diagram;   

DOI  :  10.1006/jcta.2002.3300

来源: Elsevier

【 摘 要 】

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. (C) 2002 Elsevier Science (USA).

【 授权许可】

Free