Questions tagged [semidefinite-programming]

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How is SDP an extension of spectral algorithms?

In one of his lectures, Uri Feige described semidefinite programming (SDP) as ... an algorithmic technique that extends both linear programming and spectral algorithms. I know the basic ...
• 630
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Generalizations of linear programming

Linear problems can be solved in polynomial time. So can semidefinite programs and, presumably, many other useful classes of optimization programs. Is there a survey/lecture notes describing ...
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A variant of the Maximum Weight Clique problem

I am trying to solve a problem that I could reduce to the following: Given a graph $G=(V,E)$ with both edge and vertex weights, all weights being non-negative, find a clique $Q\subseteq V$ s.t. \$\sum_{...
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• 4,701
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Toy Examples for Plotkin-Shmoys-Tardos and Arora-Kale solvers

I would like to understand how the Arora-Kale SDP solver approximates the Goemans-Williamson relaxation in nearly linear time, how the Plotkin-Shmoys-Tardos solver approximates fractional "...
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Applications and benchmarks for binary quadratic program algorithms

I have an algorithm that on all examples I was running finds an arbitrary approximation of global minimum of binary quadratic program. The algorithm find the minimum in polynomial time. Binary ...
• 537
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Educational Source or Survey on Analysis of Semidefinite Program?

When designing approximation algorithms one sometimes solves a semidefinite program followed by a rounding step. An often used example to illustrate this is Max-Cut. (See e.g. Approximation Algorithms ...
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