On the Real-rootedness of the Descent Polynomials of $(n-2)$ -Stack Sortable Permutations

preprint2016arXivOpen access

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.

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On the Real-rootedness of the Descent Polynomials of $(n-2)$ -Stack Sortable Permutations

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On the Real-rootedness of the Descent Polynomials of (n−2)(n-2)(n−2)-Stack Sortable Permutations

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On the Real-rootedness of the Descent Polynomials of $(n-2)$ -Stack Sortable Permutations