Geodesic
On the real-rootedness of the descent polynomials of \((n-2)\)-stack sortable permutations
Philip B. Zhang1
1Center for Combinatorics, LPMC-TJKLC Nankai University, Tianjin 300071, P. R. China
The electronic journal of combinatorics, Tome 22 (2015) no. 4
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Bóna conjectured that the descent polynomials on $(n-2)$-stack sortable permutations have only real zeros. Brändén proved this conjecture by establishing a more general result. In this paper, we give another proof of Brändén's result by using the theory of $s$-Eulerian polynomials recently developed by Savage and Visontai.
DOI : 10.37236/4613
Classification : 05A15, 26C10
Mots-clés : Eulerian polynomials, descent polynomials, \(t\)-stack sortable permutations, real-rootedness, interlacing, compatibility

Philip B. Zhang  1

1 Center for Combinatorics, LPMC-TJKLC Nankai University, Tianjin 300071, P. R. China 
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     title = {On the real-rootedness of the descent polynomials of \((n-2)\)-stack sortable permutations},
     journal = {The electronic journal of combinatorics},
     year = {2015},
     volume = {22},
     number = {4},
     doi = {10.37236/4613},
     zbl = {1323.05013},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/4613/}
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Philip B. Zhang. On the real-rootedness of the descent polynomials of \((n-2)\)-stack sortable permutations. The electronic journal of combinatorics, Tome 22 (2015) no. 4. doi: 10.37236/4613

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