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Lecture
Shortest Path Problems: Bellman-Ford
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Algorithmic Paradigms for Dynamic Graph Problems
Covers algorithmic paradigms for dynamic graph problems, including dynamic connectivity, expander decomposition, and local clustering, breaking barriers in k-vertex connectivity problems.
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Covers one-to-one shortest path, negative cost edges, and optimal solutions.
Transhipment and Shortest Paths
Covers optimality conditions, total unimodularity, and algorithms for transhipment problems.
Optimization Problems: Path Finding and Portfolio Allocation
Covers optimization problems in path finding and portfolio allocation.
Dynamic Programming: Shortest Paths Algorithms
Explores dynamic programming strategies for finding shortest paths in networks with various algorithms and complexities.
Graph Algorithms II: Traversal and Paths
Explores graph traversal methods, spanning trees, and shortest paths using BFS and DFS.
Shortest Paths: Negative Weights
Explores Bellman-Ford algorithm for negative weight graphs and currency exchange rates.
Shortest Paths: Bellman-Ford and Dijkstra
Covers the Bellman-Ford and Dijkstra algorithms for finding shortest paths in graphs with different edge weights.
Shortest Path Algorithms: BFS and Dijkstra
Explores Breadth-First Search and Dijkstra's algorithm for finding shortest paths in graphs.
Shortest Paths: Negative Weights & Applications
Covers Minimum Spanning Trees, Kruskal's Algorithm, and Shortest Paths in directed graphs.
