Consider the following decision version of MIN SPANNING TREE MIN SPANNING TREE, DECISION VERSION Input: A...
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Consider the following decision version of MIN SPANNING TREE MIN SPANNING TREE, DECISION VERSION Input: A graph G = (V, E) with positive edge weights e: E → R>0, and a number k € N Output: True if G has a spanning tree of total weight ≤k, False otherwise. Consider the following brute force algorithm for this problem: BruteForceMST (G, w, k): for all subsets T of E if (V, T) is a spanning tree of G: if w(T) <= k: return true return false If this was the only algorithm we knew for this problem, would it let us determine whether or not the problem is in P? Explain why or why not in 1-2 sentences. Answer. ☐ b. Show that this problem is in P. You may use an algorithm from class without having to explain why it is correct or re-deriving its running time. You should, however, argue in a sentence why its running time is dow sufficient to show that the problem is in P. Go to Settings to acti Consider the following decision version of MIN SPANNING TREE MIN SPANNING TREE, DECISION VERSION Input: A graph G = (V, E) with positive edge weights e: E → R>0, and a number k € N Output: True if G has a spanning tree of total weight ≤k, False otherwise. Consider the following brute force algorithm for this problem: BruteForceMST (G, w, k): for all subsets T of E if (V, T) is a spanning tree of G: if w(T) <= k: return true return false If this was the only algorithm we knew for this problem, would it let us determine whether or not the problem is in P? Explain why or why not in 1-2 sentences. Answer. ☐ b. Show that this problem is in P. You may use an algorithm from class without having to explain why it is correct or re-deriving its running time. You should, however, argue in a sentence why its running time is dow sufficient to show that the problem is in P. Go to Settings to acti
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a The brute force algorithm provided would not let us determine whether the problem is ... View the full answer
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Posted Date:
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