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Partitioning Based Algorithms for Some Colouring Problems

  • Ola Angelsmark
  • Johan Thapper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3978)

Abstract

We discuss four variants of the graph colouring problem, and empresent algorithms for solving them. The problems are k -Colourability, Max Ind k -COL, Max Val k -COL, and, finally, Max k -COL, which is the unweighted case of the Max k -Cut problem. The algorithms are based on the idea of partitioning the domain of the problems into disjoint subsets, and then considering all possible instances were the variables are restricted to values from these partitions. If a pair of variables have been restricted to different partitions, then the constraint between them is always satisfied since the only allowed constraint is disequality.

Keywords

Domain Size Chromatic Number Colouring Problem Register Allocation Graph Colouring Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Ola Angelsmark
    • 1
  • Johan Thapper
    • 2
  1. 1.Department of Computer ScienceLund UniversityLundSweden
  2. 2.Department of MathematicsLinköpings UniversitetLinköpingSweden

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