SOLVED: (10pts) Recall the VERTEX k-CENTER problem which, given an undirected weighted graph G= (V,E), asks for a subset of vertices S⊆V of size k that minimizes the maximum distance between a vertex in V and a vertex in S.(a) Formulate the related decision problem.(b) Prove that the decision version is in NP.(c) Show that the decision version is NP-hard via a reduction from Min-VERTEX-Cover.3. (10pts) Recall the VERTEX k-CENTER problem which, given an undirected weighted graph G = (V,E), asks f
SOLVED: (10pts) Recall the VERTEX k-CENTER problem which, given a…
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