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  <doc>
    <id>1084</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2008-08-14</completedDate>
    <publishedDate>2008-08-14</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Detecting Orbitopal Symmetries</title>
    <abstract language="eng">Orbitopes can be used to handle symmetries which arise in integer programming formulations with an inherent assignment structure. We investigate the detection of symmetries appearing in this approach. We show that detecting so-called orbitopal symmetries is graph-isomorphism hard in general, but can be performed in linear time if the assignment structure is known.</abstract>
    <identifier type="serial">08-33</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1119</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-10842</identifier>
    <enrichment key="SourceTitle">Appeared in: Operations Research Proceedings 2008, Bernhard Fleischmann ... (eds.), 2009, pp. 433-438</enrichment>
    <author>Timo Berthold</author>
    <submitter>unknown unknown</submitter>
    <author>Marc Pfetsch</author>
    <series>
      <title>ZIB-Report</title>
      <number>08-33</number>
    </series>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Symmetrie-Erkennung</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Orbitope</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Ganzzahlige Programmierung</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Symmetrie-Brechung</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Graphenisomorphie</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>symmetry detection</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>orbitopes</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>integer programming</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>symmetry breaking</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>graph ismorphism</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="msc" number="52B12">Special polytopes (linear programming, centrally symmetric, etc.)</collection>
    <collection role="msc" number="90C10">Integer programming</collection>
    <collection role="msc" number="90C35">Programming involving graphs or networks [See also 90C27]</collection>
    <collection role="msc" number="90C57">Polyhedral combinatorics, branch-and-bound, branch-and-cut</collection>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="berthold">Berthold, Timo</collection>
    <collection role="projects" number="MATHEON-B12:IPSym">MATHEON-B12:IPSym</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1084/ZR_08_33.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/1084/ZR_08_33.ps</file>
  </doc>
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