A Simple Proof of a Conjecture of Simion

Details A Simple Proof of a Conjecture of Simion A Simple Proof of a Conjecture of Simion

2008-09-09

arxiv.org/abs/0809.1604v1

J. Combin. Theory Ser. A 100 (2002), 399--402

Mathematics

Combinatorics

4 pages

Scientific paper

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.

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