Semidefinite programming in combinatorial optimization

Semidefinite Programming and Combinatorial Optimization

We describe a few applications of semide nite programming in combinatorial optimization Mathematics Subject Classi cation C C C C C R

Linear, Semidefinite Programming and Randomization Methods for Combinatorial Optimization Problems

Approximating Semidefinite Packing Programs

In this paper we define semidefinite packing programs and describe an algorithm to approximately solve these problems. Semidefinite packing programs arise in many applications such as semidefinite programming relaxations for combinatorial optimization problems, sparse principal component analysis, and sparse variance unfolding techniques for dimension reduction. Our algorithm exploits the struc...

Interior Point and Semidefinite Approaches in Combinatorial Optimization

Conic programming, especially semidefinite programming (SDP), has been regarded as linear programming for the 21st century. This tremendous excitement was spurred in part by a variety of applications of SDP in integer programming (IP) and combinatorial optimization, and the development of efficient primal-dual interior-point methods (IPMs) and various first order approaches for the solution of ...

1 Parallel Semidefinite Programming and Combinatorial Optimization STEVEN

The use of semidefinite programming in combinatorial optimization continues to grow. This growth can be attributed to at least three factors: new semidefinite relaxations that provide tractable bounds to hard combinatorial problems, algorithmic advances in the solution of semidefinite programs (SDP), and the emergence of parallel computing. Solution techniques for minimizing combinatorial probl...