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- Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
- Eur. J. Comb.
- 2009

We establish a combinatorial connection between the sequence (in,k) counting the involutions on n letters with k descents and the sequence (an,k) enumerating the semistandard Young tableaux on nâ€¦ (More)

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 counted by Motzkinâ€¦ (More)

- Marilena Barnabei, Flavio Bonetti, Sergi Elizalde, Matteo Silimbani
- J. Comb. Theory, Ser. A
- 2014

Article history: Received 10 January 2014 Available online xxxx

- Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
- Eur. J. Comb.
- 2010

We exploit Krattenthalerâ€™s bijection between the set Sn(3-1-2) of permutations in Sn avoiding the classical pattern 3-1-2 and Dyck n-paths to study the joint distribution over the set Sn(3-1-2) of aâ€¦ (More)

We characterize the sets of centrosymmetric permutations, namely, permutations Ïƒ âˆˆ Sn such that Ïƒ(i)+Ïƒ(n+1âˆ’i) = n+1, that avoid any given family of patterns of length 3. We exhibit bijections betweenâ€¦ (More)

- Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
- Discrete Mathematics & Theoretical Computerâ€¦
- 2009

We present an extensive study of the Eulerian distribution on the set of centrosymmetric involutions, namely, involutions in Sn satisfying the property Ïƒ(i) + Ïƒ(n+ 1âˆ’ i) = n+ 1 for every i = 1 . . .â€¦ (More)

- Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
- Electr. J. Comb.
- 2012

We introduce the Dual Bubble Sort operator BÌ‚ (a sorting algorithm such that, if Ïƒ = Î± 1Î² is a permutation, then BÌ‚(Ïƒ) = 1Î± BÌ‚(Î²)) and consider the set of permutations sorted by the composition BÌ‚B,â€¦ (More)

- Marilena Barnabei, Flavio Bonetti, Sergi Elizalde, Matteo Silimbani
- Electr. J. Comb.
- 2016

Centrosymmetric involutions in the symmetric group S2n are permutations Ï€ such that Ï€ = Ï€âˆ’1 and Ï€(i) + Ï€(2n + 1 âˆ’ i) = 2n + 1 for all i, and they are in bijection with involutions of theâ€¦ (More)

We define an analogue of signed Eulerian numbers fn,k for involutions of the symmetric group and derive some combinatorial properties of this sequence. In particular, we exhibit both an explicitâ€¦ (More)

- Marilena Barnabei, NiccolÃ² Castronuovo
- Eur. J. Comb.
- 2016

We describe a map Î“ from the set of Dyck paths of given semilength to itself that is the analog of the SchÃ¼tzenberger involution on standard Young tableaux. Afterwards, we examine the behavior of Î“â€¦ (More)