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arxiv: 1309.4807 · v3 · pith:OLGGBV4Tnew · submitted 2013-09-18 · 🧮 math.AC · math.CO

Normal 0-1 polytopes

classification 🧮 math.AC math.CO
keywords hypergraphlabelednormalpolytopesassociatecombinatorialdecompositionehrhart
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We study the question of when 0-1 polytopes are normal or, equivalently, having the integer decomposition property. In particular, we shall associate to each 0-1 polytope a labeled hypergraph, and examine the equality between its Ehrhart and polytopal rings via the combinatorial structures of the labeled hypergraph.

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