Kruskal's algorithm

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Kruskal's algorithm is a minimum-spanning-tree algorithm.

The algorithm finds an edge of the least possible weight that connects any two trees in the forest.

It is a greedy algorithm in graph theory as it finds a minimum spanning tree for a connected weighted graph adding increasing cost arcs at each step.

  • This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized.

If the graph is not connected, then it finds a minimum spanning forest (a minimum spanning tree for each connected component).

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