Can Prim's and Kruskal's algorithms be used to find the shortest path between two vertices in a graph? Explain.

  • No, neither Prim's nor Kruskal's algorithms can be used to find the shortest path.
  • Only Kruskal's algorithm can find the shortest path, not Prim's.
  • Only Prim's algorithm can find the shortest path, not Kruskal's.
  • Yes, both algorithms can find the shortest path between two vertices in a graph.
Neither Prim's nor Kruskal's algorithms are designed to find the shortest path between two specific vertices. They are specifically used for finding minimum spanning trees, which may not necessarily correspond to the shortest path between two vertices. Additional algorithms like Dijkstra's or Bellman-Ford are more suitable for shortest path problems.
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