Learn · Selected Topics in Algorithms
Lecture 22 of 66Week 05
Lecture 22: Mixing Time, Reversible Markov Chain
Prof. Palash Dey · IIT Kharagpur
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All the lectures
- Lecture 01 : Introduction to Maximum Flow
- Lecture 02 : Ford - Fulkerson Method
- Lecture 03 : Edmond - Karp Algorithm
- Lecture 04 : Edmond - Karp Algorithm (Contd.)
- Lecture 05 : Flow Decomposition
- Lecture 06 : Maximum Bipartite Matching, Fattest Augmenting Path
- Lecture 07 : Karger's Algorithm
- Lecture 08 : Augmenting Path
- Lecture 09 : Edmonds Blossom Algorithm
- Lecture 10 : Edmond - Karp Algorithm (Contd.)
- Lecture 11: Introduction to Randomized Algorithm
- Lecture 12: Polynomial Identity Testing
- Lecture 13: Perfect Bipartite Matching, Randomized Quicksort
- Lecture 14: Concentration Inequalities: Markov, Chebyshev, Chernoff
- Lecture 15: Proof of Chernoff Bound
- Lecture 16: Coupon Collector Problem
- Lecture 17: Balls and Bins
- Lecture 18: Balls and Bins Contd.
- Lecture 19: Two Point Sampling
- Lecture 20: Randomized Algorithm for 2 SAT
- Lecture 21: Markov Chain, Periodicity, Stationary Distribution
- Lecture 22: Mixing Time, Reversible Markov Chain
- Lecture 23: Metropolis Algorithm, Markov Chain on Independent Sets
- Lecture 24: Random Walk on Cycles
- Lecture 25: Shuffling Cards
- Lecture 26: Monte Carlo Method, Hitting Time, Cover Time
- Lecture 27: DNF Counting
- Lecture 28: DNF Counting (Contd.)
- Lecture 29: Counting Independent Sets of a Graph
- Lecture 30: Counting Independent Sets of a Graph (Contd.)
- Lecture 31: Introduction of NP, co-NP, and P
- Lecture 32: Turing Reduction, Karp Reduction
- Lecture 33: NP - Completeness of 3SAT
- Lecture 34: NP - Completeness of Independent Set
- Lecture 35: NP - Completeness of vertex cover and clique
- Lecture 36: NP - Completeness of 3 - coloring
- Lecture 37: NP - Completeness of Subset sum and Knapsack
- Lecture 38: NP - Completeness of set cover, Weak and Strong NP - completeness
- Lecture 39: Self Reduction
- Lecture 40: Randomized Approximation Algorithm
- Lecture 41: Derandomization
- Lecture 42: Travelling Salesman Problem
- Lecture 43: 2 - Factor Approximation Algorithm for Metric TSP
- Lecture 44: 1.5 - Factor Approximation Algorithm for Metric TSP
- Lecture 45: Approximation Algorithm for Set Cover
- Lecture 46: FPTAS for Knapsack
- Lecture 47: Introduction to Linear Program
- Lecture 48: Introduction to Linear Program (Contd.,)
- Lecture 49: Dual Fitting
- Lecture 50: Dual Fitting (Contd.)
- Lecture 51 : Dual Fitting
- Lecture 52 : Set Cover using LP rounding
- Lecture 53 : Vertex Cover using reduction to set cover
- Lecture 54 : Vertex Cover LP
- Lecture 55 : Randomized Rounding
- Lecture 56: Primal Dual Scheme
- Lecture 57: Introduction to Parameterized Algorithm
- Lecture 58: Faster FPT Algorithm for Vertex Cover
- Lecture 59: Introduction to Kernelization
- Lecture 60: Linear Programming Based Kernels
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