The primary topics in this part of the specialization are: shortest paths (Bellman-Ford, Floyd-Warshall, Johnson), NP-completeness and what it means for the algorithm designer, and strategies for coping with computationally intractable problems (analysis of heuristics, local search).
Week 1 The Bellman-Ford algorithm; all-pairs shortest paths.
Week 2 NP-complete problems and exact algorithms for them.
Week 3 Approximation algorithms for NP-complete problems.
Week 4 Local search algorithms for NP-complete problems; the wider world of algorithms.
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