On the Rank of Mixed 0,1 Polyhedra G erard Cornu ejols
نویسنده
چکیده
For a polytope in the [0; 1] cube, Eisenbrand and Schulz showed recently that the maximum Chv atal rank is bounded above by O(n2logn) and bounded below by (1 + )n for some > 0. Chv atal cuts are equivalent to Gomory fractional cuts, which are themselves dominated by Gomory mixed integer cuts. What do these upper and lower bounds become when the rank is de ned relative to Gomory mixed integer cuts? An upper bound of n follows from existing results in the literature. In this note, we show that the lower bound is also equal to n. This result still holds for mixed 0,1 polyhedra with n binary variables.
منابع مشابه
On the Rank of Mixed 0, 1 Polyhedra
For a polytope in the [0; 1] cube, Eisenbrand and Schulz showed recently that the maximum Chv atal rank is bounded above by O(n2logn) and bounded below by (1 + )n for some > 0. Chv atal cuts are equivalent to Gomory fractional cuts, which are themselves dominated by Gomory mixed integer cuts. What do these upper and lower bounds become when the rank is de ned relative to Gomory mixed integer cu...
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