Titlebook: Integer Programming and Combinatorial Optimization; 12th International I Matteo Fischetti,David P. Williamson Conference proceedings 2007 S

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Cuts for Conic Mixed-Integer Programmingly incorporated in branch-and-bound algorithms that solve continuous conic programming relaxations at the nodes of the search tree. Our preliminary computational experiments with the new cuts show that they are quite effective in reducing the integrality gap of continuous relaxations of conic mixed-integer programs.

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Triangle-Free Simple 2-Matchings in Subcubic Graphs (Extended Abstract) above problem. Our system requires the use of a type of comb inequality (introduced by Grötschel and Padberg for the TSP polytope) that has {0,1,2}-coefficients and hence is more general than the well-known blossom inequality used in Edmonds’ characterization of the simple 2-matching polytope.

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Organization

On a Generalization of the Master Cyclic Group Polyhedrontain facet defining inequalities for the MEP, and also present facet defining inequalities for the MEP that cannot be obtained in such a way. Finally, we study the mixed-integer extension of the MEP and present an interpolation theorem that produces valid inequalities for general Mixed Integer Programming Problems using facets of the MEP.

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ABYSS

Inequalities from Two Rows of a Simplex TableauIn this paper we explore the geometry of the integer points in a cone rooted at a rational point. This basic geometric object allows us to establish some links between lattice point free bodies and the derivation of inequalities for mixed integer linear programs by considering two rows of a simplex tableau simultaneously.

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EVICT

A Faster Strongly Polynomial Time Algorithm for Submodular Function MinimizationWe consider the problem of minimizing a submodular function .defined on a set . with . elements. We give a combinatorial algorithm that runs in O(.. EO + ..) time, where EO is the time to evaluate .(.) for some . ⊆ .. This improves the previous best strongly polynomial running time by more than a factor of .