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» On the bounded integer programming
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MFCS
2010
Springer
13 years 6 months ago
Breaking the Rectangle Bound Barrier against Formula Size Lower Bounds
Karchmer, Kushilevitz and Nisan formulated the formula size problem as an integer programming problem called the rectangle bound and introduced a technique called the LP bound, whi...
Kenya Ueno
IPCO
2007
126views Optimization» more  IPCO 2007»
13 years 9 months ago
The Smoothed Number of Pareto Optimal Solutions in Bicriteria Integer Optimization
Abstract. A well established heuristic approach for solving various bicriteria optimization problems is to enumerate the set of Pareto optimal solutions, typically using some kind ...
René Beier, Heiko Röglin, Berthold V&o...
MP
2006
121views more  MP 2006»
13 years 7 months ago
Approximate fixed-rank closures of covering problems
Consider a 0/1 integer program min{cT x : Ax b, x {0, 1}n } where A is nonnegative. We show that if the number of minimal covers of Ax b is polynomially bounded, then there is ...
Daniel Bienstock, Mark Zuckerberg
SODA
2010
ACM
133views Algorithms» more  SODA 2010»
14 years 4 months ago
Testing additive integrality gaps
We consider the problem of testing whether the maximum additive integrality gap of a family of integer programs in standard form is bounded by a given constant. This can be viewed...
Friedrich Eisenbrand, Nicolai Hähnle, Dömötör ...
NETWORKS
2008
13 years 7 months ago
Lower bounds for two-period grooming via linear programming duality
In a problem arising in grooming for two-period optical networks, it is required to decompose the complete graph on n vertices into subgraphs each containing at most C edges, so t...
Charles J. Colbourn, Gaetano Quattrocchi, Violet R...