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← GATE CSE 2015 Set 1

Q45

MCQ2 marks, −0.67

Let G=(V,E)G = (V, E) be a simple undirected graph, and ss be a particular vertex in it called the source. For x∈Vx \in V, let d(x)d(x) denote the shortest distance in GG from ss to xx. A breadth first search (BFS) is performed starting at ss. Let TT be the resultant BFS tree. If (u,v)(u, v) is an edge of GG that is not in TT, then which one of the following CANNOT be the value of d(u)−d(v)d(u) - d(v)?

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