On Problems without Polynomial Kernels (Extended Abstract)

  title={On Problems without Polynomial Kernels (Extended Abstract)},
  author={Hans L. Bodlaender and Rodney G. Downey and Michael R. Fellows and Danny Hermelin},
Kernelization is a central technique used in parameterized algorithms, and in other techniques for coping with NP-hard problems. In this paper, we introduce a new method which allows us to show that many problems do not have polynomial size kernels under reasonable complexity-theoretic assumptions. These problems include kPath, k-Cycle, k-Exact Cycle, k-Short Cheap Tour, k-Graph Minor Order Test, k-Cutwidth, k-Search Number, k-Pathwidth, k-Treewidth, k-Branchwidth, and several optimization… CONTINUE READING
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