GATE | GATE-CS-2016 (Set 1) | Question 48

Consider the weighted undirected graph with 4 vertices, where the weight of edge {i, j} g is given by the entry
Wij in the matrix W

The largest possible integer value of x, for which at least one shortest path between some pair of vertices will contain the edge with weight x is ________
Note : This question was asked as Numerical Answer Type.

(A) 8
(B) 12
(C) 10
(D) 11

Answer: (B)

Explanation: Let vertices be 0, 1, 2 and 3.

x directly connects 2 to 3. The shortest path (excluding x) from 2 to 3 is of weight 12 (2-1-0-3).

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