2 citations · 4 across the 5 of their papers we have counts for
8 papers · 1 filter
The Eulerian numbers on restricted centrosymmetric permutations
Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
We study the descent distribution over the set of centrosymmetric permutations that avoid the pattern of length 3. Our main tool in the most puzzling case, namely, and …
The distribution of consecutive patterns of length 3 in -avoiding permutations
M. Barnabei, F. Bonetti, M. Silimbani
We exploit Krattenthaler's bijection between the set of permutations in avoiding the classical pattern and Dyck -p…
Restricted involutions and Motzkin paths
M. Barnabei, F. Bonetti, M. Silimbani
We show how a bijection due to Biane between involutions and labelled Motzkin paths yields bijections between Motzkin paths and two families of restricted involutions that are coun…
Restricted centrosymmetric permutations
Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
The paper was withdrawn because of its significant overlap with a paper appeared recently.
The signed Eulerian numbers on involutions
M. Barnabei, F. Bonetti, M. Silimbani
We define an analogue of signed Eulerian numbers for involutions of the symmetric group and derive some combinatorial properties of this sequence. In particular, we exhib…
Combinatorial properties of the numbers of tableaux of bounded height
M. Barnabei, F. Bonetti, M. Silimbani
We introduce an infinite family of lower triangular matrices , where counts the standard Young tableaux on cells and with at most columns on a suitable…