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The classic Set Cover problem requires selecting a minimum size subset A ⊆ F from a family of finite subsets F Of U such that the elements covered by A are ...
Aug 10, 2015 · ABSTRACT. The classic Set Cover problem requires selecting a mini- mum size subset A⊆F from a family of finite subsets F of.
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May 8, 2024 · Using our MapReduce Set Cover heuristic as a building block, we present the first large-scale seed generation algorithm that scales to ∼ 20 ...
this problem is akin the set cover problem [16]. We use an eager heuristic during the “bagging” process, used in admission control: submission(job J): break ...
In this paper, we present a modified greedy set cover algorithm that is used to locate the minimal set of machines that can serve the partial results. Our ...
Aug 23, 2013 · Greedy set cover algorithms are used to find the smallest subset that covers the maximum number of uncovered points in a large set. In this case, ...
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We present two algorithms for the offline version of Set Cover that both give a O(log n) approxi- mation ratio. 2.1 The Greedy Algorithm. The first algorithm, ...
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Let X = {1, 2,...,n} be a ground set of n elements, and let S be a family of subsets of X, |S| = m. A cover is a collection of sets such that their union is X.
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Each set in ℱI is contained by a set in ℱ. 2. Each set in ℱ is union of at most cc sets in ℱI. 3. The size of ℱI is small, given ...