Efficient Parameterized Preprocessing for Cluster Editing

  • Michael Fellows
  • Michael Langston
  • Frances Rosamond
  • Peter Shaw
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4639)


In the Cluster Editing problem, a graph is to be changed to a disjoint union of cliques by at most k operations of edge insertion or edge deletion. Improving on the best previously known quadratic-size polynomial-time kernelization, we describe how a crown-type structural reduction rule can be used to obtain a 6k kernelization bound.


Vertex Cover Reduction Rule Cluster Graph Vertex Cover Problem Search Tree Algorithm 
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 2007

Authors and Affiliations

  • Michael Fellows
    • 1
    • 2
  • Michael Langston
    • 3
  • Frances Rosamond
    • 1
  • Peter Shaw
    • 1
  1. 1.University of Newcastle, Callaghan NSW 2308Australia
  2. 2.Durham University, Institute of Advanced Study, Durham DH1 3RLUnited Kingdom
  3. 3.University of Tennessee, Knoxville, Tennessee 37996-3450U.S.A.

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