minimum spanning tree algorithm python


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  • What is a minimum spanning tree algorithm?

    Kruskal's algorithm is another popular minimum spanning tree algorithm that uses a different logic to find the MST of a graph. Instead of starting from a vertex, Kruskal's algorithm sorts all the edges from low weight to high and keeps adding the lowest edges, ignoring those edges that create a cycle.

  • How to find minimum cost spanning tree using Kruskal algorithm?

    Union-Find Algorithm | Set 2 (Union By Rank and Path Compression) Kruskal’s algorithm to find the minimum cost spanning tree uses the greedy approach. The Greedy Choice is to pick the smallest weight edge that does not cause a cycle in the MST constructed so far. Let us understand it with an example: The graph contains 9 vertices and 14 edges.

  • How many spanning trees can a graph have?

    One graph can have multiple spanning-tree but it can have only one unique minimum spanning tree. There are two different ways to find out the minimum spanning tree from the complete graph i.e Kruskal's algorithm and Prim’s algorithm. Let us study prim’s algorithm in detail below: What is Prim’s Algorithm?

  • What is the total cost of a spanning tree?

    The total cost (or weight) of the spanning tree is defined as the sum of the edge weights of all the edges of the spanning tree. There can be many possible spanning trees for a graph. A minimum spanning tree (MST) is defined as a spanning tree that has the minimum weight among all the possible spanning trees.

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