随机算法 (Fall 2011)/Course materials: Difference between revisions

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Rajeev Motwani and Prabhakar Raghavan, '''''Randomized Algorithms'''''. Cambridge University Press, 1995.
*Rajeev Motwani and Prabhakar Raghavan, '''''Randomized Algorithms'''''. Cambridge University Press, 1995.
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* Michael Mitzenmacher and Eli Upfal. '''''Probability and Computing: Randomized Algorithms and Probabilistic Analysis'''''. Cambridge University Press, 2005.
* Michael Mitzenmacher and Eli Upfal. '''''Probability and Computing: Randomized Algorithms and Probabilistic Analysis'''''. Cambridge University Press, 2005.
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= References and further readings =
= References and further readings =
* Thomas Cormen, Charles Leiserson, Ronald Rivest, and Clifford Stein. ''Introduction to Algorithms'', 2nd edition. MIT Press, 2001.
* 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.
* 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.
* Noga Alon and Joel Spencer. '''''The Probabilistic Method''''', 3nd edition. Wiley, 2008.


* Olle Häggström, Finite Markov Chains and Algorithmic Applications. Cambridge University Press, 2002.
* 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
* 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.  
* 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/
* Salil Vadhan, '''Pseudorandomness.''' draft. http://people.seas.harvard.edu/~salil/pseudorandomness/

Revision as of 03:51, 21 July 2011

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.
  • Shlomo Hoory, Nathan Linial, and Avi Wigderson. Expander Graphs and Their Applications. American Mathematical Society, 2006.