TSP Approximation Algorithms | Efficient Solutions to the Traveling Salesman Problem

This video explores the Traveling Salesman Problem and explains two approximation algorithms for finding a solution in polynomial time. The first method exp...

TSP Approximation Algorithms | Efficient Solutions to the Traveling Salesman Problem
Programming and Math Tutorials
70.4K views • Apr 28, 2020
TSP Approximation Algorithms | Efficient Solutions to the Traveling Salesman Problem

About this video

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:
â–º Kruskal's Algorithm: https://youtu.be/Rc6SIG2Q4y0
â–º Prim's Algorithm, https://youtu.be/MaaSoZUEoos
â–º Depth First Search, https://youtu.be/tlPuVe5Otio

Some of my other related graph videos:
â–º Dijkstras Intro https://youtu.be/U9Raj6rAqqs
â–º Dijkstras on Directed Graph https://youtu.be/k1kLCB7AZbM
â–º Bellman-Ford https://youtu.be/dp-Ortfx1f4
â–º Bellman-Ford Example https://youtu.be/vzBtJOdoRy8
â–º Floyd-Warshall https://youtu.be/KQ9zlKZ5Rzc
â–º Floyd-Warshall on Undirected Graph https://youtu.be/B06q2yjr-Cc
â–º Breadth First Search https://youtu.be/E_V71Ejz3f4

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70.4K

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Duration

12:46

Published

Apr 28, 2020

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