Two injective proofs of a conjecture of Simion

Details Two injective proofs of a conjecture of Simion Two injective proofs of a conjecture of Simion

2002-09-20

arxiv.org/abs/math/0209276v1

Mathematics

Combinatorics

6 pages, 3 figures, Latex, see related papers at http://www.math.msu.edu/~sagan

Scientific paper

Simion 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.

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