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The leading coefficient of Lascoux polynomials
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Borzì, Alessio, Chen, Xiangying, Motwani, Harshit J., Venturello, Lorenzo and Vodička, Martin (2023) The leading coefficient of Lascoux polynomials. Discrete Mathematics, 346 (2). 113217. doi:10.1016/j.disc.2022.113217 ISSN 0012-365X.
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Official URL: https://doi.org/10.1016/j.disc.2022.113217
Abstract
Lascoux polynomials have been recently introduced to prove polynomiality of the maximum-likelihood degree of linear concentration models. We find the leading coefficient of the Lascoux polynomials (type C) and their generalizations to the case of general matrices (type A) and skew symmetric matrices (type D). In particular, we determine the degrees of such polynomials. As an application, we find the degree of the polynomial δ(m,n,n−s) of the algebraic degree of semidefinite programming, and when s=1 we find its leading coefficient for types C, A and D.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| SWORD Depositor: | Library Publications Router | ||||||||
| Journal or Publication Title: | Discrete Mathematics | ||||||||
| Publisher: | Elsevier BV | ||||||||
| ISSN: | 0012-365X | ||||||||
| Official Date: | February 2023 | ||||||||
| Dates: |
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| Volume: | 346 | ||||||||
| Number: | 2 | ||||||||
| Article Number: | 113217 | ||||||||
| DOI: | 10.1016/j.disc.2022.113217 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Open Access Version: |
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