GATE | GATE-CS-2001 | Question 39

Consider an undirected unweighted graph G. Let a breadth-first traversal of G be done starting from a node r. Let d(r,u) and d(r,v) be the lengths of the shortest paths from r to u and v respectively in G. If u is visited before v during the breadth-first traversal, which of the following statements is correct?
(A) d(r, u) < d(r, v)
(B) d(r,u) > d(r,v)
(C) d(r,u) <= (r,v)
(D) None of the above


Answer: (C)

Explanation: See question 4 of https://www.geeksforgeeks.org/data-structures-and-algorithms-set-8/

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