# On Quadratic Programming with a Ratio Objective

@inproceedings{Bhaskara2011OnQP, title={On Quadratic Programming with a Ratio Objective}, author={Aditya Bhaskara and Moses Charikar and Rajsekar Manokaran and Aravindan Vijayaraghavan}, booktitle={International Colloquium on Automata, Languages and Programming}, year={2011} }

Quadratic Programming (QP) is the well-studied problem of maximizing over {−1,1} values the quadratic form ∑i≠jaijxixj. QP captures many known combinatorial optimization problems, and assuming the Unique Games conjecture, Semidefinite Programming (SDP) techniques give optimal approximation algorithms. We extend this body of work by initiating the study of Quadratic Programming problems where the variables take values in the domain {−1,0,1}. The specific problem we study is $$\begin{aligned…

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