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math.AG2023★ 2 cited
Rational Dual Certificates for Weighted Sums-of-Squares Polynomials with Boundable Bit Size
Maria M. Davis, Dávid Papp
In (Davis and Papp, 2022), the authors introduced the concept of dual certificates of (weighted) sum-of-squares polynomials, which are vectors from the dual cone of weighted sums o…
math.MG2023
The smallest mono-unstable convex polyhedron with point masses has 8 faces and 11 vertices
Dávid Papp, Krisztina Regős, Gábor Domokos +1
In the study of monostatic polyhedra, initiated by John H. Conway in 1966, the main question is to construct such an object with the minimal number of faces and vertices. By distin…