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arxiv: 1012.3905 · v3 · pith:5XCFCG2Fnew · submitted 2010-12-16 · 🧮 math.CO

Realizability of Polytopes as a Low Rank Matrix Completion Problem

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keywords moduliparameterizingpolytoperelationspaceanotherarticlecombinatorial
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This article gives necessary and sufficient conditions for a relation to be the containment relation between the facets and vertices of a polytope. Also given here, are a set of matrices parameterizing the linear moduli space and another set parameterizing the projective moduli space of a combinatorial polytope.

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