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Oct 5, 2023 · 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:
Kruskal's algorithm is a minimum spanning tree algorithm that takes a graph as input and finds the subset of the edges of that graph.
In Kruskal's algorithm, we start from edges with the lowest weight and keep adding the edges until the goal is reached. The steps to implement Kruskal's algorithm are listed as follows -. First, sort all the edges from low weight to high. Now, take the edge with the lowest weight and add it to the spanning tree.
Kruskal's algorithm [1] finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree. It is a greedy algorithm that in each step adds to the forest the lowest-weight edge that will not form a cycle. [2]
The MST (or MSTs) found by Kruskal's algorithm is the collection of edges that connect all vertices (or as many as possible) with the minimum total edge weight. Kruskal's algorithm adds edges to the MST (or Minimum Spanning Forest), starting with the edges with the lowest edge weights.
Kruskal's minimal spanning tree algorithm is one of the efficient methods to find the minimum spanning tree of a graph. A minimum spanning tree is a subgraph that connects all the vertices present in the main graph with the least possible edges and minimum cost (sum of the weights assigned to each edge).
Jun 7, 2024 · Kruskal’s Algorithm is a greedy algorithm used to find MST in the graph. Kruskal’s Algorithm sorts all edges of the given graph in increasing order. Then it keeps on adding new edges and nodes in the MST if the newly added edge does not form a cycle.
