Related to universal set, Choose the largest subset for

Related to universal set

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Reference no: EM1321471

The set cover problem is as follows: provided a set S of subsets S1, Sm of the universal set U = {1,.....,n}, compute the smallest subset of subsets T ⊂ S such that ∪ti∈T ti = U. For instance, there exist following subsets, S1 = {1, 3, 5}, S2 = {2, 4}, S3 = {1, 4}, and S4 = {2, 5} the set cover could then be S1 and S2. Determine a counterexample for following algorithm on the basis of greedy strategy: Choose the largest subset for cover, and then remove all its elements from universal set. Repeat by adding subset consisting of largest number of uncovered elements until all is covered.

Reference no: EM1321471

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