Contents

Course content

Principles for construction of algorithms: Decomposition, greedy algorithms, dynamic programming. Algorithm analysis. Probalistic algorithms. Approximation. Selected applications to sets, graphs, arithmetic, and geometry.

Computability and complexity: Reduction. Complexity classes P (polynomial time), NP (non-deterministic polynomial time), and NC (efficiently parallelizable problems). NP-complete problems. Undecidable problems.

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