Better approximations for Tree Sparsity in Nearly-Linear Time

The Tree Sparsity problem is defined as follows: given a node-weighted tree of size n and an integer k, output a rooted subtree of size k with maximum weight. The best known algorithm solves this problem in time O(kn), i.e., quadratic in the size of the input tree for k = Θ(n). In this work, we desi...

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Bibliographic Details
Main Authors: Backurs, Arturs (Contributor), Indyk, Piotr (Contributor), Schmidt, Ludwig (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor)
Format: Article
Language:English
Published: Society for Industrial and Applied Mathematics (SIAM), 2017-10-23T15:26:22Z.
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