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Which algorithm is used to find the minimum spanning tree in a graph?A) Bellman-FordB) Kruskal'sC) Prim'sD) Dijkstra

Question

Which algorithm is used to find the minimum spanning tree in a graph?A) Bellman-FordB) Kruskal'sC) Prim'sD) Dijkstra

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Solution

The algorithms used to find the minimum spanning tree in a graph are Kruskal's (option B) and Prim's (option C). Both of these algorithms are designed to find the minimum spanning tree in a graph, which is a tree that connects all the vertices in the graph and has the least total weight (or cost).

Here's a brief overview of how each algorithm works:

  1. Kruskal's Algorithm: This algorithm works by sorting all the edges from the lowest weight to the highest. Then it starts adding the lowest weight edge to the spanning tree, ensuring that the edge doesn't form a cycle with the spanning tree formed so far. It continues to add edges until it has reached all vertices.

  2. Prim's Algorithm: This algorithm works by starting from an arbitrary vertex and greedily growing the spanning tree by adding the lowest weight edge that connects a vertex in the tree to a vertex outside the tree. It continues to add edges until it has reached all vertices.

So, the correct answer to your question would be both B) Kruskal's and C) Prim's.

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