5 citations · 18 across the 13 of their papers we have counts for
14 papers
Pattern avoiding alternating involutions
Marilena Barnabei, Flavio Bonetti, Niccolò Castronuovo +1
We enumerate and characterize some classes of alternating and reverse alternating involutions avoiding a single pattern of length three or four. If on one hand the case of patterns…
Consecutive patterns in restricted permutations and involutions
M. Barnabei, F. Bonetti, N. Castronuovo +1
It is well-known that the set of involutions of the symmetric group corresponds bijectively - by the Foata map - to the set of -permutations that…
Two descent statistics over 321-avoiding centrosymmetric involutions
Marilena Barnabei, Flavio Bonetti, Sergi Elizalde +1
Centrosymmetric involutions in the symmetric group S_{2n} are permutations πsuch that π=π^{-1} and π(i)+π(2n+1-i)=2n+1 for all i, and they are in bijection with involutions of the…
Descent sets on 321-avoiding involutions and hook decompositions of partitions
Marilena Barnabei, Flavio Bonetti, Sergi Elizalde +1
We show that the distribution of the major index over the set of involutions in S_n that avoid the pattern 321 is given by the q-analogue of the n-th central binomial coefficient.…
Two permutation classes enumerated by the central binomial coefficients
Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
We define a map between the set of permutations that avoid either the four patterns or , and the set of Dyck prefixes. This map, when res…
1234-avoiding permutations and Dyck paths
Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
We define a map between the symmetric group and the set of pairs of Dyck paths of semilength . We show that the map is injective when restricted to the set of 1234…