The Gomory-Chvátal Closure of a Non-Rational Polytope is a Rational Polytope
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منابع مشابه
On the Chvátal-Gomory Closure of a Compact Convex Set
In this paper, we show that the Chvátal-Gomory closure of any compact convex set is a rational polytope. This resolves an open question of Schrijver [17] for irrational polytopes1, and generalizes the same result for the case of rational polytopes [17], rational ellipsoids [8] and strictly convex bodies [7].
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عنوان ژورنال:
- Math. Oper. Res.
دوره 38 شماره
صفحات -
تاریخ انتشار 2011