All reports by Author Devanathan Thiruvenkatachari:

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TR19-093
| 15th July 2019
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Prahladh Harsha, Subhash Khot, Euiwoong Lee, Devanathan Thiruvenkatachari#### Improved 3LIN Hardness via Linear Label Cover

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TR17-030
| 15th February 2017
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Amey Bhangale, Subhash Khot, Devanathan Thiruvenkatachari#### An Improved Dictatorship Test with Perfect Completeness

Prahladh Harsha, Subhash Khot, Euiwoong Lee, Devanathan Thiruvenkatachari

We prove that for every constant $c$ and $\epsilon = (\log n)^{-c}$, there is no polynomial time algorithm that when given an instance of 3LIN with $n$ variables where an $(1 - \epsilon)$-fraction of the clauses are satisfiable, finds an assignment that satisfies at least $(\frac{1}{2} + \epsilon)$-fraction of clauses ... more >>>

Amey Bhangale, Subhash Khot, Devanathan Thiruvenkatachari

A Boolean function $f:\{0,1\}^n\rightarrow \{0,1\}$ is called a dictator if it depends on exactly one variable i.e $f(x_1, x_2, \ldots, x_n) = x_i$ for some $i\in [n]$. In this work, we study a $k$-query dictatorship test. Dictatorship tests are central in proving many hardness results for constraint satisfaction problems.

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