Question: Let G = (V, E) be a graph with positive weights associated with its edges, and let F_1 and F_2 be two disjoint sets of

Let G = (V, E) be a graph with positive weights

Let G = (V, E) be a graph with positive weights associated with its edges, and let F_1 and F_2 be two disjoint sets of vertices of V. The cost of a path connecting two vertices is the sum of weights of its edges. The distance of between F_1 and F_2 is the cost of the cheapest path connecting a vertex in F_1 to a vertex of F_2. Design an efficient algorithm to find the distance between F_1 and F_2. What is the running time of your algorithm

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