随机算法 (Fall 2011)/Course materials
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Course textbook
Rajeev Motwani and Prabhakar Raghavan.
Randomized Algorithms
.
Cambridge University Press, 1995.
Michael Mitzenmacher and Eli Upfal.
Probability and Computing: Randomized Algorithms and Probabilistic Analysis
.
Cambridge University Press, 2005.
References and further readings
Thomas Cormen, Charles Leiserson, Ronald Rivest, and Clifford Stein.
Introduction to Algorithms
, 2nd edition. MIT Press, 2001.
William Feller,
An Introduction to Probability Theory and Its Applications
, volumes 1, 3rd edition. Wiley, 1968.
Noga Alon and Joel Spencer.
The Probabilistic Method
, 3nd edition. Wiley, 2008.
Olle Häggström,
Finite Markov Chains and Algorithmic Applications.
Cambridge University Press, 2002.
Alistair Sinclair,
Markov Chain Monte Carlo: Foundations and Applications.
Lecture Notes:
http://www.cs.berkeley.edu/~sinclair/cs294/f09.html
Shlomo Hoory, Nathan Linial, and Avi Wigderson.
Expander Graphs and Their Applications.
American Mathematical Society, 2006.
Salil Vadhan,
Pseudorandomness.
draft.
http://people.seas.harvard.edu/~salil/pseudorandomness/
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