5 citations · 18 across the 14 of their papers we have counts for
16 papers
Involutions avoiding 4321 and another pattern of length four
Marilena Barnabei, Niccolò Castronuovo, Matteo Silimbani
We enumerate all families of involutions avoiding a classical pattern of length four together with 4321. While the enumeration of permutations avoiding two classical patterns is by…
Hertzsprung patterns on involutions
Marilena Barnabei, Niccolò Castronuovo, Matteo Silimbani
Hertzsprung patterns, recently introduced by Anders Claesson, are subsequences of a permutation contiguous in both positions and values, and can be seen as a subclass of bivincular…
Groups generated by pattern avoiding permutations
Marilena Barnabei, Niccolò Castronuovo, Matteo Silimbani
We study groups generated by sets of pattern avoiding permutations. In the first part of the paper we prove some general results concerning the structure of such groups. In the sec…
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…
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.…