Title
On Problems without Polynomial Kernels (Extended Abstract)
Abstract
Kernelization is a central technique used in parameterized algorithms, and in other approaches 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 k -Path, 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 problems parameterized by treewidth or cliquewidth.
Year
DOI
Venue
2008
10.1007/978-3-540-70575-8_46
ICALP
Keywords
Field
DocType
polynomial kernels,parameterized algorithm,short cheap tour,exact cycle,extended abstract,polynomial size kernel,optimization problem,new method,central technique,search number,np-hard problem,graph minor order test,graph minor
Kernelization,Polynomial hierarchy,Discrete mathematics,Parameterized complexity,Combinatorics,Polynomial,Polynomial kernel,Vertex cover,Treewidth,Graph minor,Mathematics
Conference
Volume
ISSN
Citations 
5125
0302-9743
50
PageRank 
References 
Authors
2.13
34
4
Name
Order
Citations
PageRank
Hans L. Bodlaender15699375.15
Rodney G. Downey22082207.92
Michael R. Fellows34138319.37
Danny Hermelin479048.62