The Eulerian distribution on self evacuated involutions

Barnabei, Marilena ; Bonetti, Flavio ; Silimbani, Matteo (2008) The Eulerian distribution on self evacuated involutions. [Preprint]
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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 under the Sch¨utzenberger map. We find some combinatorial properties for the generating polynomial of such distribution, together with an explicit formula for its coefficients. Afterwards, we carry out an analogous study for the subset of self evacuated involutions without fixed points.

Document type
Barnabei, Marilena
Bonetti, Flavio
Silimbani, Matteo
involuzioni, combinatoria enumerativa
Deposit date
28 Mar 2008
Last modified
16 May 2011 12:07

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