A proof of the peak polynomial positivity conjecture

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

zbMATH Keywords

permutationpositivity conjecturebinomial coefficientpeakspeak polynomial

Mathematics Subject Classification ID

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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