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math.OC2020
Distance-sparsity transference for vertices of corner polyhedra
Iskander Aliev, Marcel Celaya, Martin Henk +1
We obtain a transference bound for vertices of corner polyhedra that connects two well-established areas of research: proximity and sparsity of solutions to integer programs. In th…
math.OC2010
LLL-reduction for Integer Knapsacks
Iskander Aliev, Martin Henk
Given an integer mxn matrix A satisfying certain regularity assumptions, a well-known integer programming problem asks to find an integer point in the associated knapsack polytope…