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Consider a graph where all edge weights are positive. We have computed shortest path using Dijkstra’s shortest path algorithm and total weight of shortest path is W.Consider below two statements about a shortest path from a source to a destination.i) If the graph is modified and all edge weights are multiplied with x, then the shortest path remains same and weight of shortest path becomes W*x (W multiplied by x).ii) If the graph is modified and x is added to all edge weights, then the shortest path remains same and weight of shortest path becomes W + n*x. Where n is number of edges on the shortest path.(A) Only (i) is always True(B) Only (ii) is always True(C) Both are always True(D) Neither (i) nor (ii) is always True |
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