| LEC # | TOPICS |
|---|---|
| 1 | Introduction to Randomized Algorithms (PDF) |
| 2 | Min-Cut, Complexity Theory, Game Tree Evaluation (PDF) |
| 3 | Adelman's Theorem, Game Theory, Lower Bounds (PDF) |
| 4 | Coupon Collecting, Stable Marriage, Markov Inequality (PDF) |
| 5 | Chebyshev, Two Point Sampling, Chernoff (PDF) |
| 6 | Median Finding, Routing (PDF) |
| 7 | Probabilistic Method, Expanders, Wiring, MAX SAT (PDF) |
| 8 | Method of Conditional Probabilities and Expectations, Fingerprinting (PDF) |
| 9 | Hashing, Perfect Hash Families, Freivald's Technique (PDF) |
| 10 | Fingerprints by Polynomials, Perfect Matching, Hashing (PDF) |
| 11 | Shortest Paths (PDF) |
| 12 | Parallel Algorithms (PDF) |
| 13 | Maximal Independent Sets (PDF) |
| 14 | Minimum Spanning Trees (PDF) |
| 15 | Polling, Minimum Cut, Transitive Closure (PDF) |
| 16 | Estimating Min-Cut Size (PDF) |
| 17 | Linear Programming (PDF) |
| 18 | DNF Counting (PDF) |
| 19 | Markov Chains (PDF) |
| 20 | UTS, Eigenvalue Analysis, Expanders (PDF) |
| 21 | Expander based Pseudo-Random Generator (PDF) |
| 22 | Sampling with Markov Chains, Coupling (PDF) |
| 23 | Computational Geometry (PDF) |
| 24 | Randomized Incremental Construction (PDF) |
| 25 | Trapezoidal Decomposition, Treaps (PDF) |
| 26 | Online Algorithms |