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arxiv: 1111.5322 · v1 · pith:XZYMIPYQnew · submitted 2011-11-22 · 🧮 math.MG · math.CO· math.NA

Inscribable stacked polytopes

classification 🧮 math.MG math.COmath.NA
keywords inscribablestackedtriangulationscharacterizecombinatoriald-polytopesdelaunayequivalently
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We characterize the combinatorial types of stacked d-polytopes that are inscribable. Equivalently, we identify the triangulations of a simplex by stellar subdivisions that can be realized as Delaunay triangulations.

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  1. Copositive Matrices with Ordered Off-Diagonal Entries

    math.OC 2026-05 unverdicted novelty 7.0

    Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.