2 papers
math.CO2020
Minimum number of edges of polytopes with 2d + 2 vertices
Guillermo Pineda-Villavicencio, Julien Ugon, David Yost
We define an analogue of the cube and an analogue of the 5-wedge in higher dimensions, each with vertices and edges. We show that these two are the only minimiser…
math.OC2019
Uniqueness of solutions in multivariate Chebyshev approximation problems
Vera Roshchina, Nadia Sukhorukova, Julien Ugon
We study the solution set to multivariate Chebyshev approximation problem, focussing on the ill-posed case when the uniqueness of solutions can not be established via strict polyno…