We study the descent distribution over the set of centrosymmetric permu- tations that avoid a pattern of length 3. In the most puzzling case, namely, τ = 123 and n even, our main tool is a bijection that associates a Dyck pre􏰜x of length 2n to every centrosymmetric permutation in S_{2n} that avoids 123.
Marilena Barnabei, Flavio Bonetti, Matteo Silimbani (2010). The Eulerian numbers on restricted centrosymmetric permutations. PURE MATHEMATICS AND APPLICATIONS, 21(2), 99-118.
The Eulerian numbers on restricted centrosymmetric permutations
BARNABEI, MARILENA;BONETTI, FLAVIO;SILIMBANI, MATTEO
2010
Abstract
We study the descent distribution over the set of centrosymmetric permu- tations that avoid a pattern of length 3. In the most puzzling case, namely, τ = 123 and n even, our main tool is a bijection that associates a Dyck prex of length 2n to every centrosymmetric permutation in S_{2n} that avoids 123.File in questo prodotto:
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