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  <doc>
    <id>1082</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
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    <completedDate>2008-08-14</completedDate>
    <publishedDate>2008-08-14</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The Line Connectivity Problem</title>
    <abstract language="eng">This paper introduces the "line connectivity problem", a generalization of the Steiner tree problem and a special case of the line planning problem. We study its complexity and give an IP formulation in terms of an exponential number of constraints associated with "line cut constraints". These inequalities can be separated in polynomial time. We also generalize the Steiner partition inequalities.</abstract>
    <identifier type="serial">08-31</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1117</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-10820</identifier>
    <enrichment key="SourceTitle">Appeared in: Operations Reserach Proceedings 2008. Bernhard Fleischmann ... (eds.) Springer 2009, pp. 557-562</enrichment>
    <author>Ralf Borndörfer</author>
    <submitter>unknown unknown</submitter>
    <author>Marika Neumann</author>
    <author>Marc Pfetsch</author>
    <series>
      <title>ZIB-Report</title>
      <number>08-31</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Steiner Tree Generalization</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="msc" number="90C27">Combinatorial optimization</collection>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="borndoerfer">Borndörfer, Ralf</collection>
    <collection role="projects" number="MATHEON-B15">MATHEON-B15</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1082/ZR_08_31.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/1082/ZR_08_31.ps</file>
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