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Spanning Tree and Minimum Cost Spanning Tree Explained | Graph Theory Basics #graphtheory

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In this video, I explain two important concepts in Graph Theory: the Spanning Tree and the Minimum Cost Spanning Tree (MCST). These concepts are fundamental when it comes to optimizing networks and finding efficient paths in graphs.

Here's what we'll cover:

  1. Spanning Tree: A spanning tree is a connected graph that includes all vertices and has no circuits. This means that there’s a path between any two vertices, but no loops or redundant connections.

  2. Minimum Cost Spanning Tree (MCST): The MCST is a special type of spanning tree with the smallest total edge weight. Among all possible spanning trees, the MCST has the lowest overall cost, making it useful for minimizing distances or costs in real-world applications.

By the end of this video, you’ll have a clear understanding of what a spanning tree is and how to find the minimum cost spanning tree. If you have any questions, drop them in the comments, and I’ll be happy to help!

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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. ... https://www.youtube.com/watch?v=qKktSf-36F4

2024-09-09
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