Lesson 24: Introduction to Algorithms by Mohammad Hajiaghayi: Dijkstra Single-source Shortest Path

We talk about Dijkstra single-source shortest path algorithm and its proof by induction. Dijkstra's algorithm is a method to find the shortest path from a source vertex to all other vertices in a weighted graph with non-negative edge weights. It works by iteratively exploring the graph, gradually updating the distances until the shortest paths are determined. Interestingly, it can be seen as a generalization of topological sorting on Directed Acyclic Graphs (DAGs) when considering the graph's directional information to order the vertices visited during the process. This connection enhances our understanding of the algorithm's efficiency and behavior.

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