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Titlebook: Integer Programming and Combinatorial Optimization; 7th International IP Gérard Cornuéjols,Rainer E. Burkard,Gerhard J. Woe Conference proc

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A Min-Max Theorem on Feedback Vertex Sets (Preliminary Version), cycle-vertex incidence matrix and . is the all-one vector. The consequence is a min-max relation on packing and covering cycles, together with strongly polynomial time algorithms for the feedback vertex set problem and the cycle packing problem on the corresponding bipartite tournaments. In additio
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On the Separation of Maximally Violated mod-, Cuts,ted to the definition of effective separation procedures for families of well-structured cuts. In this paper we address the separation of Chvátal rank-1 inequalities in the context of general ILP’s of the form min{. . . ≤ . integer}, where . is an . integer matrix and . an .-dimensional integer vect
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Improved Approximation Algorithms for Capacitated Facility Location Problems,n problem (CFLP) in which the service costs obey the triangle inequality produces a solution in polynomial time which is within a factor of 8 + ε of the value of an optimal solution. By simplifying their analysis, we are able to show that the same heuristic produces a solution which is within a fact
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Optimal 3-Terminal Cuts and Linear Programming,mponent of .. If a non-negative edge weight . . is specified for each ., the . is to find a 3-cut of minimum total weight. This problem is NP-hard, and in fact, is max-SNP-hard. An approximation algorithm having performance guarantee 7/6 has recently been given by Călinescu, Karloff, and Rabani. It
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Universally Maximum Flow with Piecewise-Constant Capacities,sible, where capacities are interpreted as an upper bound on the rate of flow entering an arc. A related problem is the ., which is to send a flow from source to sink that maximizes the amount of flow arriving at the sink by time . simultaneously for all . ≤ .. We consider a further generalization o
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