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Restrictions of Graph Partition Problems

  • Hans L. Bodlaender
  • Klaus Jansen
Conference paper

Abstract

Let J be a set of n jobs, all with job processing time or job length one, and let M be a set of k machines. Incompatibilities between jobs are described by an undirected graph G = (J, E) with vertex set J. If G contains an edge between two jobs j and j′ (jj′), we demand that these two jobs can not be executed by the same machine. An assignment of the jobs to the machines, which satisfies the incompatibility relation, is called a schedule. The processing time of a machine is given by the number of assigned jobs, since each job has processing time one.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Hans L. Bodlaender
    • 1
  • Klaus Jansen
    • 2
  1. 1.Department of Computer ScienceUtrecht UniverstiyUtrechtNetherlands
  2. 2.Fachbereich IV, Mathematik/InformatikUniversität TrierTrierGermany

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