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Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Kim, Eun Jung
Paul, Christophe
Philip, Geevarghese
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dblp
dblp
Not MPG Author(s):
Kim, Eun Jung
Paul, Christophe
Editor(s):
Fomin, Fedor V.
Kaski, Petteri
dblp
dblp
Not MPII Editor(s):
Fomin, Fedor V.
Kaski, Petteri
BibTeX cite key*:
KimPaulPhilip2012
Title, Booktitle
Title*:
A Single-exponential FPT Algorithm for the K4-Minor Cover Problem
swat-lncs.pdf (335.96 KB)
Booktitle*:
Algorithm Theory - SWAT 2012 : 13th Scandinavian Symposium and Workshops
Event, URLs
Conference URL::
http://swat2012.helsinki.fi/
Downloading URL:
http://link.springer.com/chapter/10.1007%2F978-3-642-31155-0_11
Event Address*:
Helsinki, Finland
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
4 July 2012
Event End Date:
6 July 2012
Publisher
Name*:
Springer
URL:
http://www.springer.com
Address*:
Berlin
Type:
Vol, No, Year, pp.
Series:
Lecture Notes in Computer Science
Volume:
7357
Number:
Month:
Pages:
119-130
Year*:
2012
VG Wort Pages:
ISBN/ISSN:
978-3-642-31154-3
Sequence Number:
DOI:
10.1007/978-3-642-31155-0_11
Note, Abstract, ©
(LaTeX) Abstract:
Given an input graph $G$ on \(n\) vertices and an integer $k$,
the parameterized \textsc{$K_4$-minor cover} problem asks whether there is a set $S$
of at most $k$ vertices whose deletion results in a $K_4$-minor
free graph or, equivalently, in a graph of treewidth at most
$2$. The problem can thus also be called \textsc{Treewidth-$2$
Vertex Deletion}. This problem is inspired by two well-studied
parameterized vertex deletion problems, \textsc{Vertex Cover}
and \textsc{Feedback Vertex Set}, which can be expressed as
\textsc{Treewidth-$t$ Vertex Deletion} problems: $t=0$ for {\sc
Vertex Cover} and $t=1$ for {\sc Feedback Vertex Set}. While
a single-exponential FPT algorithm has been known for a long
time for \textsc{Vertex Cover}, such an algorithm for
\textsc{Feedback Vertex Set} was devised comparatively
recently. While it is known to be unlikely that
\textsc{Treewidth-$t$ Vertex Deletion} can be solved in time
$c^{o(k)}\cdot n^{O(1)}$, it was open whether the \textsc{$K_4$-minor cover} could be
solved in single-exponential FPT time, i.e. in $c^k\cdot
n^{O(1)}$ time. This paper answers this question in the
affirmative.
URL for the Abstract:
http://link.springer.com/chapter/10.1007%2F978-3-642-31155-0_11
Keywords:
Parameterized Algorithms, Vertex Deletion Problems, Treewidth
Copyright Message:
Copyright Springer-Verlag Berlin Heidelberg 2012. This work is subject to copyright. All rights are reserved, whether the whole or part of the material is
concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965,
in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law.

Published in the Proceedings of SWAT 2012, Helsinki, Finland, July 4-6, 2012. Lecture Notes in Computer Science, Volume 7357. The original publication is available at www.springerlink.com: http://www.springerlink.com/content/q72h573085148563/
Download
Access Level:
Public

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort



BibTeX Entry:

@INPROCEEDINGS{KimPaulPhilip2012,
AUTHOR = {Kim, Eun Jung and Paul, Christophe and Philip, Geevarghese},
EDITOR = {Fomin, Fedor V. and Kaski, Petteri},
TITLE = {A Single-exponential {FPT} Algorithm for the {K4}-Minor Cover Problem},
BOOKTITLE = {Algorithm Theory - SWAT 2012 : 13th Scandinavian Symposium and Workshops},
PUBLISHER = {Springer},
YEAR = {2012},
VOLUME = {7357},
PAGES = {119--130},
SERIES = {Lecture Notes in Computer Science},
ADDRESS = {Helsinki, Finland},
ISBN = {978-3-642-31154-3},
DOI = {10.1007/978-3-642-31155-0_11},
}


Entry last modified by Anja Becker, 07/08/2014
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Editor(s)
[Library]
Created
12/08/2012 04:37:55 AM
Revisions
4.
3.
2.
1.
0.
Editor(s)
Anja Becker
Anja Becker
Uwe Brahm
Geevarghese Philip
Geevarghese Philip
Edit Dates
08.02.2013 11:53:23
08.02.2013 11:53:04
01-02-2013 03:08:16 PM
12/08/2012 04:39:08 AM
12/08/2012 04:37:55 AM


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