Flavio Bonetti

most citedThe Eulerian numbers on restricted centrosymmetric permutations

5 citations · 6 across the 2 of their papers we have counts for

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math.CO2009

The distribution of consecutive patterns of length 3 in $3 - 1 - 2$ -avoiding permutations

M. Barnabei, F. Bonetti, M. Silimbani

We exploit Krattenthaler's bijection between the set $S_{n} (3 - 1 - 2)$ of permutations in $S_{n}$ avoiding the classical pattern $3 - 1 - 2$ and Dyck $n$ -p…

math.CO2008

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…

The distribution of consecutive patterns of length 3 in 3-1-2-avoiding permutations

Restricted involutions and Motzkin paths

The distribution of consecutive patterns of length 3 in $3 - 1 - 2$ -avoiding permutations