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On two unimodal descent polynomials
- Source :
- Discrete Mathematics, 341 (2018), 2616-2626
- Publication Year :
- 2015
-
Abstract
- The descent polynomials of separable permutations and derangements are both demonstrated to be unimodal. Moreover, we prove that the $\gamma$-coefficients of the first are positive with an interpretation parallel to the classical Eulerian polynomial, while the second is spiral, a property stronger than unimodality. Furthermore, we conjecture that they are both real-rooted.<br />Comment: 16 pages, 4 figures
- Subjects :
- Mathematics - Combinatorics
Subjects
Details
- Database :
- arXiv
- Journal :
- Discrete Mathematics, 341 (2018), 2616-2626
- Publication Type :
- Report
- Accession number :
- edsarx.1507.05184
- Document Type :
- Working Paper