By Sanjeev Arora, Rong Ge (auth.), Leslie Ann Goldberg, Klaus Jansen, R. Ravi, José D. P. Rolim (eds.)

ISBN-10: 3642229344

ISBN-13: 9783642229343

This publication constitutes the joint refereed complaints of the 14th overseas Workshop on Approximation Algorithms for Combinatorial Optimization difficulties, APPROX 2011, and the fifteenth overseas Workshop on Randomization and Computation, RANDOM 2011, held in Princeton, New Jersey, united states, in August 2011.

The quantity provides 29 revised complete papers of the APPROX 2011 workshop, chosen from sixty six submissions, and 29 revised complete papers of the RANDOM 2011 workshop, chosen from sixty four submissions. They have been rigorously reviewed and chosen for inclusion within the booklet. furthermore abstracts of invited talks are included.

APPROX specializes in algorithmic and complexity concerns surrounding the improvement of effective approximate ideas to computationally tough difficulties. RANDOM is anxious with functions of randomness to computational and combinatorial problems.

**Read or Download Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques: 14th International Workshop, APPROX 2011, and 15th International Workshop, RANDOM 2011, Princeton, NJ, USA, August 17-19, 2011. Proceedings PDF**

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**Additional info for Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques: 14th International Workshop, APPROX 2011, and 15th International Workshop, RANDOM 2011, Princeton, NJ, USA, August 17-19, 2011. Proceedings**

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Submatrices. d. (j) (j) (j) “blocks” B1 , B2 , . . , Bkcj , which will be the smallest unit of vertically stacked (j) submatrices we need to consider (see Fig. 1). Within each block Bi , each column is independently chosen to be non-zero with some probability, and the ith non-zero column is equal to the ith code word wi from some error-correcting code C. The code C has a constant rate and constant fractional distance. Therefore, each block has O(log h) rows (and C needs to have O(h) code words), where h is the expected number of non-zero columns per block.

Signal Processing Magazine, 92 – 103 (2010) 6. : Finding frequent items in data streams. , Conejo, R. ) ICALP 2002. LNCS, vol. 2380, p. 693. Springer, Heidelberg (2002) 7. : An improved data stream summary: The count-min sketch and its applications. In: Farach-Colton, M. ) LATIN 2004. LNCS, vol. 2976, pp. 29–38. Springer, Heidelberg (2004) 8. : Combinatorial algorithms for Compressed Sensing. In: Proc. 40th Ann. Conf. Information Sciences and Systems, Princeton (March 2006) 9. Defense Sciences Oﬃce.

The rest of the proof follows as before. 7. 2. p. over G, any ε-equilibrium (x, y) with value > 5 ε satisﬁes: √ – Both x[n] and y[n] are at least 1 − ε. – vG|[n] (x, y) ≥ α − 3ε. 3. 3). For every constant η > 0 there exist ε = Ω(η 2 ) and C = O(1/η 3 ) such that the following holds. p. over G and G): Completeness. There is a Nash equilibrium (x, y) with both payoﬀs ≥ 1 − η. Soundness. Given any ε-equilibrium with value ≥ η, we can eﬃciently recover the hidden clique. 2 by describing a simple algorithm to ﬁnd a 1 2 -approximate Nash equilibrium with at least as good value as the best exact Nash equilibrium.