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GATE | Gate IT 2007 | Question 3
Consider a weighted undirected graph with positive edge weights and let uv be an edge in the graph. It is known that the shortest path from the source vertex s to u has weight 53 and the shortest path from s to v has weight 65. Which one of the following statements is always true?
(A)
weight (u, v) < 12
(B)
weight (u, v) ≤ 12
(C)
weight (u, v) > 12
(D)
weight (u, v) ≥ 12
Answer
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