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Motwani, Rajeev. Randomized ·algorithms / Rajeev Motwani, Prabhakar Raghavan. p. em. Includes bibliographical references and index. .SBN Full Text: PDF . Tomás Feder, Rajeev Motwani, Clique partitions, graph compression and Richard M. Karp, An introduction to randomized algorithms, Discrete Applied Mathematics, v n, p, Nov. Page 1. Randomized Algorithms. Prabhakar Raghavan. IBM Almaden Research Center. San Jose, CA. { Typeset by FoilTEX {. Page 2. Deterministic Algorithms.

Randomized Algorithms Motwani Pdf

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ppti.info, and http:// Rajeev Motwani and Prabhakar Raghavan, Randomized Algorithms. Authors: Rajeev Motwani, Stanford University, California; Prabhakar For many applications, a randomized algorithm is either the simplest or the fastest. An adversary is powerless; randomized algorithms have no worst case inputs. worst case inputs. Randomized algorithms are often simpler and faster than their Rajeev Motwani and Prabhakar Raghavan, Randomized. Algorithms.

Randomized Algorithms

Carsten Moldenhauer Language: English ECTS credits: Wednesday, 11am, MA B1 Exercise: News — if you have not! Gupta October 19 Max Cut, vector programs, semidefinite programming, weighted majority with perfect expert Design of Approximation Algorithms p.

Grading During the semester there will be an assignment every two weeks.

Books Randomized Algorithms. Randomized Algorithms p. Course Information A more detailed version of the syllabus is available as an archival pdf.

Topics and Schedule We will be attempt to cover most of the chapters in the text, excluding chapters 2,9,13, but the focus will be on ensuring you understand the material. Week 1: Randomized algorithms overview and complexity theory. MR95 Chapter 1, except 1.

Basic probability theory. Markov and Chebyshev inequalities, randomized selection, coupon collector's problem.

An NC Algorithm for Minimum Cuts

MR95 Chapter 3 Week 4: Tail inequalities and applications: Chernoff bounds and applications, Martingales. MR95 4. More Chernoff bounds and applications. Oblivious routing on the hypercube, the probabilistic method, Max-SAT, expanding graphs.

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MR95 5. Lovasz Local Lemma and applications, the method of conditional probabilities.

Notes on Strongly 2-universal hash families. Oct 4.

AG Two-level hashing. Markov and Chebychev.

Oct 6. SC Chernoff bounds: coin flipping and randomized rounding. Oct Nov AG Geometric Algorithms. Ken Clarkson's survey on randomness in geometric algorithms.

Survey by Pankaj Agarwal and Sandeep Sen. Andrew, Dan G.

Happy thanksgiving eve! Taka, Anupam Talagrand's inequality.Important notes:. Randomized Algorithms p. Rapidly mixing expander random walks, approximately solving a P-complete problem.

Probability and Computing p. Topics and Schedule We will be attempt to cover most of the chapters in the text, excluding chapters 2,9,13, but the focus will be on ensuring you understand the material.

Also by appointment -- send email. Rajeev Motwani and Prabhakar Raghavan.

Probability and Computing. Week 8: Weeks

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