This video explores the Traveling Salesman Problem, and explains two approximation algorithms for finding a solution in polynomial time. The first method explained is a 2-approximation that uses a minimum spanning tree (MST) and depth first search (DFS). The second method is Christofides' algorithm, which combines perfect matching with a minimum spanning tree. TSP is a classic NP-Hard problem.
I recommend you first watch the following videos on MSTs and DFS, which I reference in this video:
► Kruskal's Algorithm: • Kruskals Algorithm for...
► Prim's Algorithm, • Prims Algorithm for Mi...
► Depth First Search, • Depth-First Search Alg...
Some of my other related graph videos:
► Dijkstras Intro • Dijkstras Algorithm fo...
► Dijkstras on Directed Graph • Dijkstras Algorithm Di...
► Bellman-Ford • Bellman-Ford Single-So...
► Bellman-Ford Example • Bellman Ford Algorithm...
► Floyd-Warshall • Floyd Warshall Graph T...
► Floyd-Warshall on Undirected Graph • Floyd Warshall Algorit...
► Breadth First Search • Breadth First Search -...
12 авг 2024