Descent polynomials
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Publication:1999732
DOI10.1016/j.disc.2019.01.034zbMath1414.05009arXiv1710.11033OpenAlexW4205448029MaRDI QIDQ1999732
Bruce E. Sagan, Pamela E. Harris, Mohamed Omar, Erik Insko, Alexander Diaz-Lopez
Publication date: 27 June 2019
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.11033
Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)
Related Items (8)
Pinnacle sets of signed permutations ⋮ Roots of descent polynomials and an algebraic inequality on hook lengths ⋮ Unnamed Item ⋮ Some coefficient sequences related to the descent polynomial ⋮ On \(q\)-analogs of descent and peak polynomials ⋮ Descent polynomials, peak polynomials and an involution on permutations ⋮ Counting Linear Extensions of Posets with Determinants of Hook Lengths ⋮ A generalization of descent polynomials
Cites Work
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- New bounds for chromatic polynomials and chromatic roots
- On meteors, earthworms and wimps
- One more remark on the adjoint polynomial
- The number of permutations with the same peak set for signed permutations
- Coefficients and Roots of Peak Polynomials
- Unimodality, log-concavity, real-rootedness and beyond
- Combinatorics of Coxeter Groups
- Expansions of Chromatic Polynomials and Log-Concavity
- Characterization of entire functions via quadrature
- Decompositions of Rational Convex Polytopes
- The peak algebra and the descent algebras of types B and D
- Permutations with given peak set
- A proof of the peak polynomial positivity conjecture
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