Algorithms | Graph Shortest Paths | Question 12

Is the following statement valid about shortest paths?
Given a graph, suppose we have calculated shortest path from a source to all other vertices. If we modify the graph such that weights of all edges is becomes double of the original weight, then the shortest path remains same only the total weight of path changes.
(A) True
(B) False


Answer: (A)

Explanation: The shortest path remains same. It is like if we change unit of distance from meter to kilo meter, the shortest paths don’t change.

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