A proof of the peak polynomial positivity conjecture
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Publication:5892334
DOI10.1016/j.jcta.2017.01.004zbMath1358.05012arXiv1605.01708OpenAlexW2963103801WikidataQ123123682 ScholiaQ123123682MaRDI QIDQ5892334
Pamela E. Harris, Alexander Diaz-Lopez, Mohamed Omar, Erik Insko
Publication date: 20 March 2017
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01708
Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05)
Related Items (8)
Peaks on Graphs ⋮ Some coefficient sequences related to the descent polynomial ⋮ A proof of the peak polynomial positivity conjecture ⋮ Descent polynomials ⋮ The pinnacle set of a permutation ⋮ Descent polynomials, peak polynomials and an involution on permutations ⋮ Cyclic pattern containment and avoidance ⋮ Sorting permutations with fixed pinnacle set
Cites Work
- Peak sets of classical Coxeter groups
- Gale duality bounds for roots of polynomials with nonnegative coefficients
- On meteors, earthworms and wimps
- Coefficients and Roots of Peak Polynomials
- Expansions of Chromatic Polynomials and Log-Concavity
- Decompositions of Rational Convex Polytopes
- Location of Zeros of Chromatic and Related Polynomials of Graphs
- On the zeros of certain polynomials
- Permutations with given peak set
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