M. Barnabei

most citedThe descent statistic on involutions is not log-concave

2 citations · 4 across the 5 of their papers we have counts for

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5 papers · 1 filter

math.CO2008

Restricted centrosymmetric permutations

Marilena Barnabei, Flavio Bonetti, Matteo Silimbani

The paper was withdrawn because of its significant overlap with a paper appeared recently.

math.CO2008★ 2 cited

The signed Eulerian numbers on involutions

M. Barnabei, F. Bonetti, M. Silimbani

We define an analogue of signed Eulerian numbers $f_{n, k}$ for involutions of the symmetric group and derive some combinatorial properties of this sequence. In particular, we exhib…

math.CO2008

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 $Γ^{(s)}$ , where $γ_{n, i}^{s}$ counts the standard Young tableaux on $n$ cells and with at most $s$ columns on a suitable…

math.CO2008

The Eulerian distribution on self evacuated involutions

Marilena Barnabei, Flavio Bonetti, Matteo Silimbani

We present an extensive study of the Eulerian distribution on the set of self evacuated involutions, namely, involutions corresponding to standard Young tableaux that are fixed und…

math.CO2007★ 2 cited

The descent statistic on involutions is not log-concave

Marilena Barnabei, Flavio Bonetti, Matteo Silimbani

We establish a combinatorial connection between the sequence $(i_{n, k})$ counting the involutions on $n$ letters with $k$ descents and the sequence $(a_{n, k})$ enumerating the semi…