Shortest path problem

Formal sciences
Mathematics
Discrete mathematics
Pathfinding

Formal sciences
Mathematics
Discrete mathematics
Graph theory

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Related lectures (29)

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Dijkstra's Algorithm and Shortest Path

Covers Dijkstra's algorithm for shortest path problems and its application in ALL-TO-ONE and ALL-PAIRS algorithms.

Bellman Ford Algorithm

Explores the Bellman Ford algorithm for finding the shortest path in graphs with negative edge weights.

Lagrangian Duality: Optimization Tutorial

Covers Lagrangian duality in optimization, focusing on the minimum bin path problem and path time optimization.

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.

Shortest Paths: Negative Weights & Applications

Covers Minimum Spanning Trees, Kruskal's Algorithm, and Shortest Paths in directed graphs.

Dynamic Programming: Shortest Paths Algorithms

Explores dynamic programming strategies for finding shortest paths in networks with various algorithms and complexities.

Fundamental Groups

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Networks: Paths

Explains paths in networks, including simple paths and cycles.

Shortest Paths: Bellman-Ford and Dijkstra

Covers the Bellman-Ford and Dijkstra algorithms for finding shortest paths in graphs with different edge weights.

Optimization of Pseudometrics in Graphs

Covers the optimization of pseudometrics in graphs, focusing on minimizing pseudometrics and the shortest path metric.