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  <doc>
    <id>812</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2004-08-23</completedDate>
    <publishedDate>2004-08-23</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Computing Optimal Morse Matchings</title>
    <abstract language="eng">Morse matchings capture the essential structural information of discrete Morse functions. We show that computing optimal Morse matchings is NP-hard and give an integer programming formulation for the problem. Then we present polyhedral results for the corresponding polytope and report on computational results.</abstract>
    <identifier type="serial">04-37</identifier>
    <identifier type="opus3-id">813</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-8120</identifier>
    <enrichment key="SourceTitle">Appeared in: SIAM J. Discrete Mathematics 20 (2006) 11-25</enrichment>
    <author>Michael Joswig</author>
    <author>Marc Pfetsch</author>
    <series>
      <title>ZIB-Report</title>
      <number>04-37</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>discrete Morse function</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Morse matching</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="06A07">Combinatorics of partially ordered sets</collection>
    <collection role="msc" number="52B99">None of the above, but in this section</collection>
    <collection role="msc" number="57Q05">General topology of complexes</collection>
    <collection role="msc" number="90C27">Combinatorial optimization</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="projects" number="MorseFunctions">MorseFunctions</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/812/ZR-04-37.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/812/ZR-04-37.pdf</file>
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