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Dijkstra's Shortest Path Algorithm - A Complete Story (Algorithm, Example, Complexity and Proof)
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Dijkstra's algorithm, a fundamental algorithm of finding the shortest path from one vertex to another in a graph.
We explain the algorithm with extremely clear animations, then we discuss its complexity, and finally we formally prove its correctness.
Chapters
0:00 A walk in Amsterdam
0:58 graph theory model
1:46 Intuition
2:33 Relax
3:41 An example
8:22 Pseudo code & Complexity
10:00 Proof of correctness
13:14 Negative weight
13:35 The humble (programmer)
#algorithm #dijkstra #aligorithm #graphtheory #maze #artificialintelligence #complexity #shortestpath #navigation #computerscience #manim #soME4 #soMEpi
We explain the algorithm with extremely clear animations, then we discuss its complexity, and finally we formally prove its correctness.
Chapters
0:00 A walk in Amsterdam
0:58 graph theory model
1:46 Intuition
2:33 Relax
3:41 An example
8:22 Pseudo code & Complexity
10:00 Proof of correctness
13:14 Negative weight
13:35 The humble (programmer)
#algorithm #dijkstra #aligorithm #graphtheory #maze #artificialintelligence #complexity #shortestpath #navigation #computerscience #manim #soME4 #soMEpi
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