The undirected feedback vertex set problem has a Poly(k) Kernel

Burrage, Kevin, Estivill-Castro, Vladimir, Fellows, Michael R., Langston, Michael A., Macnamara, Shev, & Rosamond, Frances A. (2006) The undirected feedback vertex set problem has a Poly(k) Kernel. In Lecture Notes in Computer Science, Springer Berlin / Heidelberg, Zurich, Switzerland, pp. 192-202.

View at publisher


Resolving a noted open problem, we show that the Undirected Feedback Vertex Set problem, parameterized by the size of the solution set of vertices, is in the parameterized complexity class Poly(k), that is, polynomial-time pre-processing is sufficient to reduce an initial problem instance (G, k) to a decision-equivalent simplified instance (G', k') where k' � k, and the number of vertices of G' is bounded by a polynomial function of k. Our main result shows an O(k11) kernelization bound.

Impact and interest:

26 citations in Scopus
Search Google Scholar™
23 citations in Web of Science®

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

ID Code: 46190
Item Type: Conference Paper
Refereed: Yes
DOI: 10.1007/11847250_18
ISSN: 0302-9743
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) (010104)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2006 Springer Verlag
Deposited On: 28 Sep 2011 01:59
Last Modified: 29 Feb 2012 14:36

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page