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Showing 1 to 3 of 3 for “"eulerian polynomials"”.
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The 1/k-Eulerian Polynomials.
North Carolina State University Theses Computer Science.
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Descent Systems, Eulerian Polynomials and Toric Varieties
It is well-known that the Eulerian polynomials, which count permutations in S_n by their number of descents, give the h-polynomial/h-vector of the simple polytopes known as permutohedra, the convex hull of the Sn -orbit for a generic weight in the weight lattice of Sn . Therefore the Eulerian …
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Polytopes, generating functions, and new statistics related to descents and inversions in permutations
… the generating functions involving alternating Eulerian polynomials, defined by analogy with the classical Eulerian polynomials ... using alternating descents. By looking at the number of alternating inversions in alternating (down-up) permutations, we obtain a new qanalog of the Euler number En …