QuestionMay 2, 2025

Which of the following would Prim's Algorithm probably not be used for? Construction of minimum spanning trees. Shortest path between two vertices chosen after the algorithm has run. Removing cycles in graphs. Efficient network layout.

Which of the following would Prim's Algorithm probably not be used for? Construction of minimum spanning trees. Shortest path between two vertices chosen after the algorithm has run. Removing cycles in graphs. Efficient network layout.
Which of the following would Prim's Algorithm probably not be used for?
Construction of minimum spanning trees.
Shortest path between two vertices chosen after the algorithm has run.
Removing cycles in graphs.
Efficient network layout.

Solution
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Answer

Shortest path between two vertices chosen after the algorithm has run. Explanation 1. Identify Prim's Algorithm Purpose Prim's Algorithm is used for constructing minimum spanning trees (MST) in a graph. 2. Analyze Each Option - Construction of minimum spanning trees: Direct use of Prim's Algorithm. - Shortest path between two vertices: Not suitable, as Prim's focuses on MST, not shortest paths. - Removing cycles in graphs: Indirectly achieved by MST, but not the primary purpose. - Efficient network layout: Achieved through MST construction.

Explanation

1. Identify Prim's Algorithm Purpose<br /> Prim's Algorithm is used for constructing minimum spanning trees (MST) in a graph.<br /><br />2. Analyze Each Option<br /> - Construction of minimum spanning trees: Direct use of Prim's Algorithm.<br /> - Shortest path between two vertices: Not suitable, as Prim's focuses on MST, not shortest paths.<br /> - Removing cycles in graphs: Indirectly achieved by MST, but not the primary purpose.<br /> - Efficient network layout: Achieved through MST construction.
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