MATH 261B: Topics in Probabilistic Combinatorics and Algorithms

Course Schedule, Winter 2012

Date Lecture
Lecture 1: January 10 Introduction to course; Amplification
Lecture 2: January 12 Amplification. Notes for lectures 1 & 2 by Mark Kempton
Lecture 3: January 17 Load Balancing. Notes for lecture 3 by Olivia Simpson
Lecture 4: January 19 Skip Lists, Randomization, and Quicksort. Notes for lecture 4 by Fletcher Smith
Lecture 5: January 24
Lecture 6: January 26 Low Distortion Embeddings. Notes for lecture 6 by Ariel Levavi
Lecture 7: January 31 Probabilistic Recurrences. Notes for lecture 7 by Jeffery Truman
Lecture 8: February 2 Presentation: Andy Wilson, Growing Protean Graphs by P. Pralat and N. Wormald. Notes from the lecture are posted here.
Lecture 9: February 7 Lecture by Stephen Young. Lovasz Local Lemma. Notes from lecture 7 by Daniel Ricketts.
Lecture 10: February 9 Presentation: Mark Kempton, The spectra of random graphs with given expected degrees by F. Chung, L. Lu, and V. Vu. Completion of Stephen Young's lecture on the Algorithmic Local Lemma. Notes from the lecture written by Michael Tait can be found here.
Lecture 11: February 14 Presentation: Jay Cummings, Cops and Robbers on Geometric Graphs by A. Beveridge, A. Dudek, A. Frieze, and T. Mueller
Lecture 12: February 16 Martingales. Notes for lecture 12 by Andy Wilson. Presentation: Christian Woods, Graphs with Integral Spectrum by O. Ahmadi, N. Alon, I.F. Blake, and I.E. Shparlinski
Lecture 13: February 21 Martingales. Notes for lecture 13 by Mark Kempton
Lecture 14: February 23 Presentation: Jeffrey Truman, Birth control for giants by J. Spencer and N. Wormald
Lecture 15: February 28 Presentation: Daniel Ricketts, On smoothed analysis in dense graphs and formulas by M. Krivelaich, B. Sudakov, and P. Tetali
Lecture 16: March 1 Presentation: Mike Tait, Enumeration of Cospectral Graphs by W. Haemers and E. Spence
Lecture 17: March 6 Presentation: Fletcher Smith, Increasing the Chromatic Number of Random Graph by N. Alon and B. Sudakov; Olivia Simpson, Expansion properties of a random regular graph after random vertex deletion by C.S. Greenhill, F.B. Holt, and N. Wormald
Lecture 18: March 8 Presentation: Anurag Narra, Random graphs with a given degree sequence by S. Chatterjee, P. Diaconis, and A. Sly
Lecture 19: March 13 Presentation: Benji Greenberg, Periodic Graphs by C. Godsil; Jeffrey Truman's follow-up.
Lecture 20: March 15 Steve Young will lecture on FKG inequality and concentrations for one-sided Martigales. Lecture notes by Olivia.
Presentation: Joonleng Tan, Asymptotic packing and the random greedy algorithm by V. Rodl and L. Thoma. Here is Joonleng's notes.

Please contact Ariel Levavi at alevavi@cs.ucsd.edu or Jay Cummings at jjcummings@math.ucsd.edu to sign up for a presentation slot. Note: Due to the popularity of some of the papers, if you don't sign up for a time slot, your choice in topic WILL NOT be saved. Thanks for your understanding.