Computer Sciences Dept.

CS 880 - Advanced Complexity Theory

Spring 2006

Lecture Notes

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Date Topic Scribes
1 1/23 Introduction Michael Kowalczyk
2 1/25 Existence of Expanders Jurgen Van Gael, Bess Berg
3 1/27 Spectral Gap Implies Expansion Ashwin Ganesan, Anand Sinha
4 1/30 Expansion Implies Spectral Gap Prem Mansukhani, Matthew Anderson
5 2/3 Explicit Constructions Siddharth Barman, Mark Cowlishaw
6 2/6 Zig-Zag Product Scott Diehl, Jeff Kinne
7 2/10 Iterative Construction Shuaiqi Gu, Vinay Choudhary
8 2/13 More on Iterative Construction Siddharth Barman, Anand Sinha
9 2/15 One-Sided Error Reduction Shuaiqi Gu, Matthew Anderson
10 2/17 Two-Sided Error Reduction Jurgen Van Gael, Bess Berg
11 2/20 Pseudorandom Generators Scott Diehl, Jeff Kinne
12 2/22 Extractors Vinay Choudhary
13 2/24 Superconcentrators Prem Mansukhani, Mark Cowlishaw
14 3/1 Coding Theory Michael Kowalczyk
15 3/3 Error Correcting Codes Scott Diehl, Jeff Kinne
16 3/6 Expander Codes Michael Kowalczyk, Matthew Anderson
17 3/8 Linear Time Expander Codes Vinay Choudhary
18 3/20 Undirected ST-Connectivity in Deterministic Log-Space Jurgen Van Gael, Bess Berg
19 3/22 The PCP Theorem Siddharth Barman, Anand Sinha
20 3/24 Proof of the PCP Theorem Prem Mansukhani, Mark Cowlishaw
21 3/27 Satisfiability Gap Amplification Siddharth Barman, Anand Sinha
22 3/29 Constraint Graph Alphabet Reduction Jurgen Van Gael, Bess Berg
23 3/31 Static Membership Problem Prem Mansukhani, Matthew Anderson
24 4/3 Metric Embeddings Michael Kowalczyk, Mark Cowlishaw
25 4/7 Proof Complexity Scott Diehl, Jeff Kinne
26 4/12 Resolution Vinay Choudhary, Michael Kowalczyk
27 4/14 Resolution Lower Bounds Michael Kowalczyk

 
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