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Titlebook: Integer Programming and Combinatorial Optimization; 11th International I Michael Jünger,Volker Kaibel Conference proceedings 2005 Springer-

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Computing the Inertia from Sign Patterns, that the inertia of a sign-nonsingular symmetric matrix is determined uniquely by its sign pattern. The purpose of this paper is to present an efficient algorithm for computing the inertia of such matrices. The algorithm runs in O(.) time for a symmetric matrix of order . with . nonzero entries. Th
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Randomized Relaxation Methods for the Maximum Feasible Subsystem Problem, .-hard problem has interesting applications in a variety of fields. In some challenging applications in telecommunications and computational biology one faces very large . instances with up to millions of inequalities in thousands of variables. We propose to tackle large-scale instances of . using
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Improved Approximation Schemes for Linear Programming Relaxations of Combinatorial Optimization Proe applied to a very large class of linear programming problems..Our results build mainly on work of Nesterov and extend the work of Bienstock and Iyengar. In fact, one of the objectives of this paper is to make clearer the relationship between these two.
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Sequential Pairing of Mixed Integer Inequalities,f inequalities. For some important cases, we identify combination sequences that lead to a manageable set of non-dominated inequalities. We illustrate the framework for some deterministic and stochastic integer programs and we present computational results which show the efficiency of adding the new generated inequalities as cuts.
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Unique Sink Orientations of Grids,p randomized algorithms for finding the sink. We show that the orientations arising from PGLCP satisfy the combinatorial . condition known to hold for polytope digraphs, and we give the first expected linear-time algorithms for solving PGLCP with a fixed number of blocks.
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