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?
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(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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