4 papers
On chain polynomials of geometric lattices
Petter Brändén, Leonardo Saud Maia Leite
Athanasiadis and Kalampogia-Evangelinou recently conjectured that the chain polynomial of any geometric lattice has only real zeros. We verify this conjecture for families of geome…
Totally nonnegative matrices, chain enumeration and zeros of polynomials
Petter Brändén, Leonardo Saud Maia Leite
We prove that any lower unitriangular and totally nonnegative matrix gives rise to a family of polynomials with only real zeros. This has consequences for problems in several areas…
Order polytopes of crown posets
Teemu Lundström, Leonardo Saud Maia Leite
In the last decade, the order polytope of the zigzag poset has been thoroughly studied. A related poset, called \emph{crown poset}, obtained by adding an extra relation between the…
ARC-V: Vertical Resource Adaptivity for HPC Workloads in Containerized Environments
Daniel Medeiros, Jeremy J. Williams, Jacob Wahlgren +2
Existing state-of-the-art vertical autoscalers for containerized environments are traditionally built for cloud applications, which might behave differently than HPC workloads with…