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» Cutting planes in integer and mixed integer programming
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MP
2006
121views more  MP 2006»
15 years 1 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
ENDM
2010
103views more  ENDM 2010»
14 years 10 months ago
Structural Analysis for Differential-Algebraic Systems: Complexity, Formulation and Facets
In this paper we consider the structural analysis problem for differential-algebraic systems with conditional equations. This consists, given a conditional differential algebraic ...
Mathieu Lacroix, Ali Ridha Mahjoub, Sébasti...
ESA
2008
Springer
115views Algorithms» more  ESA 2008»
15 years 3 months ago
A New Approach to Exact Crossing Minimization
The crossing number problem is to find the smallest number of edge crossings necessary when drawing a graph into the plane. Eventhough the problem is NP-hard, we are interested in ...
Markus Chimani, Petra Mutzel, Immanuel M. Bomze
STOC
2007
ACM
117views Algorithms» more  STOC 2007»
16 years 1 months ago
A combinatorial, primal-dual approach to semidefinite programs
Semidefinite programs (SDP) have been used in many recent approximation algorithms. We develop a general primal-dual approach to solve SDPs using a generalization of the well-know...
Sanjeev Arora, Satyen Kale
ICRA
2009
IEEE
98views Robotics» more  ICRA 2009»
15 years 8 months ago
Multi-robot routing with linear decreasing rewards over time
Abstract— We study multi-robot routing problems (MRLDR) where a team of robots has to visit a set of given targets with linear decreasing rewards over time, such as required for ...
Ali Ekici, Pinar Keskinocak, Sven Koenig