Finding counterexample-algorithm based on greedy strategy

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Reference no: EM1345503

Q1) Set cover problem is as follows: given a set S of subsets S1, ..., Sm of universal set U={1, ..., n}, determine smallest subset of subsets T ⊂ S such that ∪ti∈T ti = U. For instance, there are the following subsets, S1 = {1, 3, 5}, S2 ={2, 4}, S3 = {1, 4}, and S4 = {2, 5} The set cover would then be S1 and S2. Determine a counterexample for the following algorithm based on greedy strategy: Choose the largest subset for cover, and then delete all its elements from universal set. Repeat by adding subset containing the largest number of uncovered elements until all are covered.

Reference no: EM1345503

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