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Cut Property of Minimum Spanning Trees & Algorithms (Graphs: Algorithms & Theory)

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First published at 16:14 UTC on October 17th, 2022.

Dr. Daniel R. Page

PageWizard Games, Learning & Entertainment

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In today's lesson, we learn about the cut property and how it can be used to derive a couple different algorithms that solve the Minimum Spanning Tree (MST) problem! The blob's way is an optimal way!

Time Stamps:
0:00 Opening
1:52 Cut Prop…

In today's lesson, we learn about the cut property and how it can be used to derive a couple different algorithms that solve the Minimum Spanning Tree (MST) problem! The blob's way is an optimal way!

Time Stamps:
0:00 Opening
1:52 Cut Property, statement of the theorem, example (it must be stressed that one set of vertices need not be a collection of adjacent of vertices)
8:31 Proof of the Cut Property
20:30 How we can use the cut property to derive algorithms to compute MSTs!? Prim's Algorithm and Kruskal's Algorithm.

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