Approximation, Randomization, and Combinatorial by Kook Jin Ahn, Sudipto Guha, Andrew McGregor (auth.), Prasad

By Kook Jin Ahn, Sudipto Guha, Andrew McGregor (auth.), Prasad Raghavendra, Sofya Raskhodnikova, Klaus Jansen, José D. P. Rolim (eds.)

This booklet constitutes the court cases of the sixteenth overseas Workshop on Approximation Algorithms for Combinatorial Optimization difficulties, APPROX 2013, and the seventeenth overseas Workshop on Randomization and Computation, RANDOM 2013, held in August 2013 within the united states. the entire of forty eight conscientiously reviewed and chosen papers awarded during this quantity encompass 23 APPROX papers chosen out of forty six submissions, and 25 RANDOM papers chosen out of fifty two submissions. APPROX 2013 makes a speciality of algorithmic and complexity theoretic matters suitable to the advance of effective approximate strategies to computationally tough difficulties, whereas RANDOM 2013 makes a speciality of functions of randomness to computational and combinatorial problems.

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Extra resources for Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques: 16th International Workshop, APPROX 2013, and 17th International Workshop, RANDOM 2013, Berkeley, CA, USA, August 21-23, 2013. Proceedings

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F (x(t) ), g(y(t+1) ), . . , g(y(m) )) simply equals the π(i):th row of X followed by the i:th row of Y. With probability (1−γ)m ≥ 1−γm this is a sample from D and is hence accepted by P with probability at least Ex∼D [P(x)] − γm. We prove a partial converse of the above: unless f and g have influential coordinates i and j such that π(j) = i, the distribution D can be replaced by a product of two distributions with a negligible loss in the acceptance probability. We define this product distribution below and postpone the analysis to Sect.

Closing the gap in the approximability of MAS is wide open and probably no easier than resolving the approximability for Max Cut and other 2-CSPs. In particular, getting any factor close to 1/2 seems to require new ideas. Max BTW has an approximation algorithm that satisfies half of the constraints if all the constraints can be simultaneously satisfied. Thus improving our result to obtaining perfect completeness is particularly enticing. Finally, improving our general hardness result to only requiring that D is pairwise independent is interesting especially in light of the analogous results for CSPs [4,6].

ACM 45(3), 501–555 (1998) 3. : Probabilistic checking of proofs: A new characterization of NP. J. ACM 45(1), 70–122 (1998) 4. : Approximation resistant predicates from pairwise independence. CCC 18(2), 249–271 (2009) 5. : Hypercontractivity, sum-of-squares proofs, and their applications. , Pitassi, T. ) STOC, pp. 307–326. ACM (2012) 6. : Approximation resistance from pairwise independent subgroups. In: STOC, pp. 325–337 (2013) 7. : Every permutation CSP of arity 3 is approximation resistant. In: CCC, pp.

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