Kruskal's algorithm: Explore the world of discrete
Explore the world of discrete mathematics with the Kruskal Algorithm. Understand its complexity, working, and real-life applications. Dive into examples and practice problems for a thorough understanding. The Kruskal algorithm is a popular algorithm used to find the Minimum Spanning Tree (MST) in a graph, ensuring that the total edge weight is minimized while connecting all vertices. This algorithm is especially useful in network design and optimization. In Kruskal's algorithm, we sort 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. It picks the minimum weighted edge at first and the maximum weighted edge at last. Kruskal’s Algorithm is a greedy algorithm used to find MST in the graph. A minimum spanning tree (MST) is a spanning tree with a weight less than or equal to the weight of every other spanning tree. Kruskal’s Algorithm sorts all edges of the given graph in increasing order.
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