Question: Consider the following decision problem: given an undirected graph G = (V, E), a set of terminal vertices T V, and a fixed parameter K,

Consider the following decision problem: given an undirected graph G = (V, E), a set of terminal vertices T V, and a fixed parameter K, determine whether there exists a subgraph G' of G such G' connects all vertices in T (i.e., there exists a path between any t_1, t_2 elementof T in G') and includes at most K non-terminal vertices. Prove that the above problem is NP-complete. Note that this involves showing: (a) The above problem is in NP. (b) The above problem is NP-hard

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