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Set cover is a well-known NP-complete problem: given a collection of sets, find as small as possible a subcollection whose union is the same as the union of the entire collection.
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Is time complexity of the greedy set cover algorithm cubic?
I claim that the greedy algorithm for solving the set cover problem given below has time complexity proportional to $M^2N$, where $M$ denotes the number of sets, and $N$ the overall number of elements …
1
vote
Is time complexity of the greedy set cover algorithm cubic?
Acc. to Introductions to Algorithms (3e), given a "simple implementation" of the above given greedy set cover algorithm, and assuming the overall number of elements equals the overall number of sets ( …