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Hard Computational Problems

All algorithms were implemented in Python.
Libraries: dimacs.py, pycoSAT, PuLP.

1st lab

Exact algorithms for Vertex Cover (brute force, O(2k), O(1.618k), O(1.47k) algorithms).

2nd lab

Approximation algorithms for Vertex cover (2-approximation, O(logn) algorithm).

3rd lab

1 - Experiment for satisfiability probability of SAT-3CNF random problems.
2a - Graph Coloring reduction to SAT.

4th lab

1 - Example ILP problem solution.
2 - Vertex Cover reduction to ILP.

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