Question: solve 4. Suppose fk is a positive integer. The Weight-Constrained Spanning 'Tree Problem asks: Q: Given a simple, connected, weighted, and undirected graph (represented as

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4. Suppose fk is a positive integer. The Weight-Constrained Spanning 'Tree Problem asks: Q: Given a simple, connected, weighted, and undirected graph (represented as an adjacency matrix) and an integer 0, is it possible to find a spanning tree with total weight less than or equal to k? For a graph J and a spanning tree we wish to define a verifier V(J,x) which satisfies the verifier definition of NP. (a) What definition of V(J,x) works? Solution: (b) Justify why V (J, 2) runs in polynomial time as a function of the number of vertices. Solution: (c) Show that V (J, x) satisfies the verifier definition. Solution

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