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arxiv: 1407.2034 · v2 · pith:2THCFVLRnew · submitted 2014-07-08 · 🧮 math.OC · cs.DM

Reverse Split Rank

classification 🧮 math.OC cs.DM
keywords splitrankreversepolyhedrainfiniteintegralalreadycharacterization
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The reverse split rank of an integral polyhedron P is defined as the supremum of the split ranks of all rational polyhedra whose integer hull is P. Already in R^3 there exist polyhedra with infinite reverse split rank. We give a geometric characterization of the integral polyhedra in R^n with infinite reverse split rank.

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