Consider a weighted undirected graph with positive edge weights and let (u, v)…

20072012

Consider a weighted undirected graph with positive edge weights and let (u, v) 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?

  1. A.

    weight (u, v) < 12

  2. B.

    weight (u, v) ≤ 12

  3. C.

    weight (u, v) > 12

  4. D.

    weight (u, v) ≥ 12

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