Kruskal's Algorithm Explained Simply (Minimum Cost Spanning Tree) | Graph Theory Basics

In this video, I walk you through Kruskal's Algorithm, a popular method in Graph Theory for finding the Minimum Cost Spanning Tree (MCST) of a graph. This algorithm efficiently builds a spanning tree by selecting the cheapest edges while avoiding circuits.

Here are the steps we’ll cover in the tutorial:

1. Select the cheapest unused edge: We begin by picking the edge with the smallest weight in the graph.
2. Add the edge: Continue selecting and adding edges, with one key rule: a. Avoid circuits: Don’t add an edge if it would create a cycle in the graph.
3. Repeat until a spanning tree is formed: Continue selecting edges until all vertices are connected and we have a spanning tree.

By the end of this video, you’ll understand how to apply Kruskal's Algorithm to efficiently find the Minimum Cost Spanning Tree, making it useful for network design, pathfinding, and optimization problems. Leave your questions in the comments if you need any clarification!

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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. Original text from Math in Society by David Lippman.