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  <doc>
    <id>8313</id>
    <completedYear/>
    <publishedYear>2022</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>154</pageFirst>
    <pageLast>159</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>2021-08-11</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Finding Minimum Balanced Separators - an Exact Approach</title>
    <abstract language="eng">Balanced separators are node sets that split the graph into size bounded components. They find applications in different theoretical and practical problems. In this paper we discuss how to find a minimum set of balanced separators in node weighted graphs. Our contribution is a new and exact algorithm that solves Minimum Balanced Separators by a sequence of Hitting Set problems. The only other exact method appears to be a mixed-integer program (MIP) for the edge weighted case. We adapt this model to node weighted graphs and compare it to our approach on a set of instances, resembling transit networks. It shows that our algorithm is far superior on almost all test instances.</abstract>
    <parentTitle language="eng">Operations Research Proceedings 2021</parentTitle>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-83138</identifier>
    <identifier type="doi">https://doi.org/10.1007/978-3-031-08623-6_24</identifier>
    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Ralf Borndörfer</author>
    <submitter>William Surau</submitter>
    <author>Stephan Schwartz</author>
    <author>William Surau</author>
    <series>
      <title>ZIB-Report</title>
      <number>21-25</number>
    </series>
    <collection role="ccs" number="G.">Mathematics of Computing</collection>
    <collection role="msc" number="90-XX">OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING</collection>
    <collection role="persons" number="borndoerfer">Borndörfer, Ralf</collection>
    <collection role="persons" number="schwartz">Schwartz, Stephan</collection>
    <collection role="projects" number="TOLLCONTROLOPT">TOLLCONTROLOPT</collection>
    <collection role="persons" number="surau">Surau, William</collection>
    <collection role="institutes" number="neo">Network Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/8313/ZIB-Report-21-25.pdf</file>
  </doc>
</export-example>
