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Randomized Algorithms - INF420

Exercises

Common Randomized Algorithms - Implementation of the coupon collector problem and the randomized quicksort and median algorithms.

Balls and Bins & Hamiltonian cycles - Finding the max load in an experiment with n bins and balls. Searching for Hamiltonian cycles in random graphs.

Max-Cut Algorithms & Concentration Inequalities - Implementation of a randomized and a deterministic algorithm for finding large cuts in random graphs. Using a simple balls and bins example to oberve the results of McDiarmid's inequality.

Dimensionallity Reduction & Satisfiability Algorithms - Studying the Johnson-Lindenstrauss Lemma to redduce the dimension of some matrix without losing any information. For the second part a randomized 2-SAT algorithm is implemented.

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