Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 37 min ago
PreprintCC BY-NC-ND 4.0HAL

EVENTUAL UNIMODALITY OF THE HYPERSIMPLEX

  • Karim Adiprasito
  • Mingzhi Zhang
Open at sourcePDFCite

Abstract

We show that the roots of the h * -polynomial of the (n, k)-hypersimplex are real and simple whenever n is large in terms of k. In particular, we also conclude the same for the (n, 3)-hypersimplex for all n.

Related

  1. Sharp Normalized Covariance Bounds and Constant-Stretch Correlated Sampling on the Hypersimplex
    Tommaso Cesari, Roberto Colomboni
    arXivPreprintarXiv licenceFull textProbabilityarXiv
  2. A Counterexample to the Eventual Stability Conjecture
    Thomas J. Tucker, Zheng Zhu
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  3. Hyperwellfoundedness and Eventual Domination
    Atticus Cull, Felix Weilacher
    arXivPreprintarXiv licenceFull textLogic & foundationsarXiv
  4. Eventual and Strong Eventual Notions in Public Announcements
    Eiji Yamada
    arXivPreprintarXiv licenceFull textLogic & foundationsarXiv
  5. Unimodality of Kazhdan--Lusztig polynomials of sparse paving matroids
    Matthew H. Y. Xie, Zuo-Ru Zhang
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{adiprasito2026eventual,
  title = {{EVENTUAL UNIMODALITY OF THE HYPERSIMPLEX}},
  author = {Karim Adiprasito and Mingzhi Zhang},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05747878v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - EVENTUAL UNIMODALITY OF THE HYPERSIMPLEX
AU  - Karim Adiprasito
AU  - Mingzhi Zhang
PY  - 2026
DA  - 2026/09/12
PB  - HAL
UR  - https://hal.science/hal-05747878v1
AB  - We show that the roots of the h * -polynomial of the (n, k)-hypersimplex are real and simple whenever n is large in terms of k. In particular, we also conclude the same for the (n, 3)-hypersimplex for all n.
ER  -