Question: 2. Prove the following problems are NP-hard. (a) Given an undirected graph G, does G contain a simple path that visits all but 17 vertices?

2. Prove the following problems are NP-hard. (a) Given an undirected graph G, does G contain a simple path that visits all but 17 vertices? (b) Given an undirected graph G with weighted edges, compute a maximum-diameter spanning tree of G. (The diameter of a tree T is the length of a longest path in T.)

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