Barnabei, Marilena ; Bonetti, Flavio ; Silimbani, Matteo
(2008)
The Eulerian distribution on self evacuated
involutions.
[Preprint]
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Abstract
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.
Abstract
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
Preprint
Creators
Keywords
involuzioni, combinatoria enumerativa
Subjects
DOI
Deposit date
28 Mar 2008
Last modified
16 May 2011 12:07
URI
Other metadata
Document type
Preprint
Creators
Keywords
involuzioni, combinatoria enumerativa
Subjects
DOI
Deposit date
28 Mar 2008
Last modified
16 May 2011 12:07
URI
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