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REPORTS > KEYWORD > CSPS:
Reports tagged with CSPs:
TR16-116 | 26th July 2016
Subhash Khot, Rishi Saket

#### Approximating CSPs using LP Relaxation

This paper studies how well the standard LP relaxation approximates a $k$-ary constraint satisfaction problem (CSP) on label set $[L]$. We show that, assuming the Unique Games Conjecture, it achieves an approximation within $O(k^3\cdot \log L)$ of the optimal approximation factor. In particular we prove the following hardness result: let ... more >>>

TR22-100 | 14th July 2022
Raghuvansh Saxena, Noah Singer, Madhu Sudan, Santhoshini Velusamy

#### Streaming complexity of CSPs with randomly ordered constraints

We initiate a study of the streaming complexity of constraint satisfaction problems (CSPs) when the constraints arrive in a random order. We show that there exists a CSP, namely Max-DICUT, for which random ordering makes a provable difference. Whereas a $4/9 \approx 0.445$ approximation of DICUT requires $\Omega(\sqrt{n})$ space with ... more >>>

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