14 citations · 19 across the 11 of their papers we have counts for
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Chebyshev multivariate polynomial approximation and point reduction procedure
Nadezda Sukhorukova, Julien Ugon, David Yost
The theory of Chebyshev (uniform) approximation for univariate polynomial and piecewise polynomial functions has been studied for decades. The optimality conditions are based on th…
The excess degree of a polytope
Guillermo Pineda-Villavicencio, Julien Ugon, David Yost
We define the excess degree of a -polytope as , where and denote the number of vertices and edges, respectively. This parameter measures how mu…
On the reconstruction of polytopes
Joseph Doolittle, Eran Nevo, Guillermo Pineda-Villavicencio +2
Blind and Mani, and later Kalai, showed that the face lattice of a simple polytope is determined by its graph, namely its -skeleton. Call a vertex of a -polytope \emph{nonsim…