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Creators/Authors contains: "Bhangale, Amey"

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  1. ; ; (, ACM)
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  2. ; ; ; ; (, Schloss Dagstuhl – Leibniz-Zentrum für Informatik)
    Kumar, Amit; Ron-Zewi, Noga (Ed.)
    We study parallel repetition of k-player games where the constraints satisfy the projection property. We prove exponential decay in the value of a parallel repetition of projection games with a value less than 1. 
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  3. ; ; (, ACM)
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  4. ; ; (, ACM)
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  5. ; ; (, STOC 2022: Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing)
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  6. ; (, 35th Computational Complexity Conference (CCC 2020))
    A systematic study of simultaneous optimization of constraint satisfaction problems was initiated by Bhangale et al. [ICALP, 2015]. The simplest such problem is the simultaneous Max-Cut. Bhangale et al. [SODA, 2018] gave a .878-minimum approximation algorithm for simultaneous Max-Cut which is almost optimal assuming the Unique Games Conjecture (UGC). For single instance Max-Cut, Goemans-Williamson [JACM, 1995] gave an α_GW-approximation algorithm where α_GW ≈ .87856720... which is optimal assuming the UGC. It was left open whether one can achieve an α_GW-minimum approximation algorithm for simultaneous Max-Cut. We answer the question by showing that there exists an absolute constant ε₀ ≥ 10^{-5} such that it is NP-hard to get an (α_GW- ε₀)-minimum approximation for simultaneous Max-Cut assuming the Unique Games Conjecture. 
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