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A 7/3-approximation for feedback vertex sets in tournaments

Mnich, Matthias, Williams, Virginia Vassilevska and Végh, László A. (2016) A 7/3-approximation for feedback vertex sets in tournaments. Leibniz International Proceedings in Informatics (57). 67:1-67:14. ISSN 1868-8969

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Identification Number: 10.4230/LIPIcs.ESA.2016.67

Abstract

We consider the minimum-weight feedback vertex set problem in tournaments: given a tournament with non-negative vertex weights, remove a minimum-weight set of vertices that intersects all cycles. This problem is NP-hard to solve exactly, and Unique Games-hard to approximate by a factor better than 2. We present the first 7/3 approximation algorithm for this problem, improving on the previously best known ratio 5/2 given by Cai et al. [FOCS 1998, SICOMP 2001].

Item Type: Article
Official URL: http://www.dagstuhl.de/publikationen/lipics/
Additional Information: © 2016 The Authors © CC BY 4.0
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 06 Mar 2017 16:18
Last Modified: 20 Nov 2019 11:50
Projects: 306465, CCF-1417238, CCF-1528078, CCF-1514339, BSF:2012338, EP/M02797X/1
Funders: European Research Council, National Science Foundation, National Science Foundation, National Science Foundation, U.S.-Israel Binational Science Foundation, Engineering and Physical Sciences Research Council
URI: http://eprints.lse.ac.uk/id/eprint/69648

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