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Minimum Spanning Tree

If the sum of the weight of the edges is as low as achievable, then this spanning tree is known as the minimum spanning tree. You can also read about spanning trees for a better understanding of this topic.

Minimum Spanning Tree

Table of Contents

Example of Minimum Spanning Tree

In this section, we will look through the example explanation of the minimum spanning tree.

Minimum Spanning Tree 6

The feasible spanning trees from this graph will be:

Minimum Spanning Tree 5

Minimum Spanning Tree 4

Minimum Spanning Tree 3

Minimum Spanning Tree 2

The minimum spanning tree from the above spanning trees is:

Minimum Spanning Tree 1

We can easily evaluate the minimum spanning tree from a graph with the help of two algorithms:

  • Prim’s Algorithm
  • Kruskal’s Algorithm

Applications of Minimum Spanning Tree

  • It helps in finding the route or paths on the map
  • For water-supply networks and also help in creating the networks like telecommunication

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