GATE | GATE CS 2013 | Question 19

What is the time complexity of Bellman-Ford single-source shortest path algorithm on a complete graph of n vertices?

(A) A
(B) B
(C) C
(D) D

Answer: (C)

Explanation: Time complexity of Bellman-Ford algorithm is O(VE) where V is number of vertices and E is number of edges. For a complete graph with n vertices, V = n, E = O(n^2). So overall time complexity becomes O(n^3)

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