Which of the following algorithms utilizes Disjoint Set Union for its implementa

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Question: Which of the following algorithms utilizes Disjoint Set Union for its implementation?

Options:

Correct Answer: Kruskal\'s algorithm

Solution:

Kruskal\'s algorithm utilizes Disjoint Set Union to efficiently manage and merge sets of vertices while finding the minimum spanning tree.

Which of the following algorithms utilizes Disjoint Set Union for its implementation?

Which of the following algorithms utilizes Disjoint Set Union for its implementation?

Step 1: Understand what Disjoint Set Union (DSU) is. It is a data structure that keeps track of a set of elements partitioned into disjoint (non-overlapping) subsets.
Step 2: Learn about Kruskal's algorithm. It is an algorithm used to find the minimum spanning tree of a graph.
Step 3: Recognize that Kruskal's algorithm needs to manage and merge sets of vertices to avoid cycles while adding edges to the minimum spanning tree.
Step 4: Identify that Disjoint Set Union is used in Kruskal's algorithm to efficiently check if two vertices belong to the same set and to merge sets when adding edges.

No concepts available.