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ANOR
2005
94views more  ANOR 2005»
13 years 5 months ago
Cover and Pack Inequalities for (Mixed) Integer Programming
We review strong inequalities for fundamental knapsack relaxations of (mixed) integer programs. These relaxations are the 0-1 knapsack set, the mixed 0-1 knapsack set, the integer ...
Alper Atamtürk
IPCO
2008
87views Optimization» more  IPCO 2008»
13 years 6 months ago
Vertex Cover Resists SDPs Tightened by Local Hypermetric Inequalities
We consider the standard semidefinite programming (SDP) relaxation for vertex cover to which all hypermetric inequalities supported on at most k vertices have been added. We show t...
Konstantinos Georgiou, Avner Magen, Iannis Tourlak...
DM
2008
91views more  DM 2008»
13 years 5 months ago
An isoperimetric inequality in the universal cover of the punctured plane
We find the largest for which any simple closed path in the universal cover R2 \ Z2 of R2 \ Z2, equipped with the natural lifted metric from the Euclidean two dimensional plane,...
Noga Alon, Adi Pinchasi, Rom Pinchasi
ORL
1998
97views more  ORL 1998»
13 years 5 months ago
The complexity of cover inequality separation
Crowder et al. (Oper. Res. 31 (1983) 803–834) conjectured that the separation problem for cover inequalities for binary integer programs is polynomially solvable. We show that t...
Diego Klabjan, George L. Nemhauser, Craig A. Tovey
EOR
2008
79views more  EOR 2008»
13 years 5 months ago
Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem
The 0-1 Multidimensional Knapsack Problem (0-1 MKP) is a wellknown (and strongly NP-hard) combinatorial optimization problem with many applications. Up to now, the majority of upp...
Konstantinos Kaparis, Adam N. Letchford