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        <identifier>oai:drops-oai.dagstuhl.de:15471</identifier>
        <datestamp>2024-03-06T10:55:22Z</datestamp>
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          <dc:title>An Improved Approximation Algorithm for the Matching Augmentation Problem</dc:title>
          <dc:creator>Cheriyan, Joseph</dc:creator>
          <dc:creator>Cummings, Robert</dc:creator>
          <dc:creator>Dippel, Jack</dc:creator>
          <dc:creator>Zhu, Jasper</dc:creator>
          <dc:subject>2-Edge connected graph</dc:subject>
          <dc:subject>2-edge covers</dc:subject>
          <dc:subject>approximation algorithms</dc:subject>
          <dc:subject>connectivity augmentation</dc:subject>
          <dc:subject>forest augmentation problem</dc:subject>
          <dc:subject>matching augmentation problem</dc:subject>
          <dc:subject>network design</dc:subject>
          <dc:description>We present a 5/3-approximation algorithm for the matching augmentation problem (MAP): given a multi-graph with edges of cost either zero or one such that the edges of cost zero form a matching, find a 2-edge connected spanning subgraph (2-ECSS) of minimum cost.&#13;
A 7/4-approximation algorithm for the same problem was presented recently, see Cheriyan, et al., "The matching augmentation problem: a 7/4-approximation algorithm," Math. Program., 182(1):315-354, 2020.&#13;
Our improvement is based on new algorithmic techniques, and some of these may lead to advances on related problems.</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Joseph Cheriyan and Robert Cummings and Jack Dippel and Jasper Zhu</dc:contributor>
          <dc:date>2021</dc:date>
          <dc:relation>Is Part Of LIPIcs, Volume 212, 32nd International Symposium on Algorithms and Computation (ISAAC 2021)</dc:relation>
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          <dc:identifier>doi:10.4230/LIPIcs.ISAAC.2021.38</dc:identifier>
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          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2021.38</dc:identifier>
          <dc:language>eng</dc:language>
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