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Prim’s algorithm can be implemented using _______

(a) a stack data structure

(b) radix sort

(c) priority queue data structure

(d) bubble sort

I have been asked this question in a national level competition.

My query is from Spanning Trees in division Trees of Discrete Mathematics

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Correct answer is (c) priority queue data structure

Easy explanation: The time complexity of Prim’s algorithm depends on the data structures used for the graph and for ordering the edges by weight, which can be done using a priority queue. In general, a priority queue will be quicker at finding the vertex in the spanning tree with minimum cost. The choice of data structures for implementation will lead to varying time complexity.

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