GATE | Gate IT 2008 | Question 43

For the undirected, weighted graph given below, which of the following sequences of edges represents a correct execution of Prim’s algorithm to construct a Minimum Span­ning Tree?
(A) (a, b), (d, f), (f, c), (g, i), (d, a), (g, h), (c, e), (f, h)
(B) (c, e), (c, f), (f, d), (d, a), (a, b), (g, h), (h, f), (g, i)
(C) (d, f), (f, c), (d, a), (a, b), (c, e), (f, h), (g, h), (g, i)
(D) (h, g), (g, i), (h, f), (f, c), (f, d), (d, a), (a, b), (c, e)

Answer: (C)

Explanation: In prims algorithm we start with any node and keep on exploring minimum cost neighbors of nodes already covered.

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