MPI-INF Logo
Publications

Server    domino.mpi-inf.mpg.de

Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Philip, Geevarghese
Raman, Venkatesh
Villanger, Yngve		dblp
dblp
dblp
Not MPG Author(s):
Raman, Venkatesh
Villanger, Yngve
Editor(s):
Thilikos, Dimitrios M.dblp
Not MPII Editor(s):
Thilikos, Dimitrios M.
BibTeX cite key*:
PhilipRamanVillanger2010
Title, Booktitle
Title*:
A Quartic Kernel for Pathwidth-One Vertex Deletion
pwone.pdf (444.03 KB)
Booktitle*:
Graph Theoretic Concepts in Computer Science - 36th International Workshop, WG 2010, Zar\'os, Crete, Greece, June 28-30, 2010 Revised Papers
Event, URLs
Conference URL::
http://wg2010.thilikos.info/
Downloading URL:
http://www.springerlink.com/content/a675490567000012/fulltext.pdf
Event Address*:
Crete, Greece
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
28 June 2010
Event End Date:
30 June 2010
Publisher
Name*:
Springer
URL:
http://www.springer.com
Address*:
Berlin
Type:
Revised Paper
Vol, No, Year, pp.
Series:
Lecture Notes in Computer Science
Volume:
6410
Number:
Month:
Pages:
196-207
Year*:
2010
VG Wort Pages:
ISBN/ISSN:
978-3-642-16925-0
Sequence Number:
DOI:
10.1007/978-3-642-16926-7_19
Note, Abstract, ©
(LaTeX) Abstract:
The pathwidth of a graph is a measure of how path-like the graph is.
Given a graph $G$ and an integer $k$, the problem of finding whether
there exist at most $k$ vertices in $G$ whose deletion results in
a graph of pathwidth at most one is \npc{}. We initiate the study
of the parameterized complexity of this problem, parameterized by
$k$. We show that the problem has a quartic vertex-kernel: We show
that, given an input instance $(G=(V,E),k);|V|=n$, we can construct,
in polynomial time, an instance $(G',k')$ such that (i) $(G,k)$
is a YES instance if and only if $(G',k')$ is a YES instance, (ii)
$G'$ has $\Oh(k^{4})$ vertices, and (iii) $k'\le k$. We also give
a fixed parameter tractable (FPT) algorithm for the problem that runs
in $\Oh(7^{k}k\cdot n^{2})$ time.
URL for the Abstract:
http://www.springerlink.com/content/a675490567000012/
Keywords:
Parameterized Algorithms, Kernelization, Pathwidth-One Deletion
Copyright Message:
Copyright Springer-Verlag Berlin Heidelberg 2010. 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 Revised Papers of WG 2010, Crete, Greece, June 28-30, 2010. Lecture Notes in Computer Science, Volume 6410. The original publication is available at www.springerlink.com : http://www.springerlink.com/content/a675490567000012/
Download
Access Level:
Public

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



BibTeX Entry:

@INPROCEEDINGS{PhilipRamanVillanger2010,
AUTHOR = {Philip, Geevarghese and Raman, Venkatesh and Villanger, Yngve},
 EDITOR = {Thilikos, Dimitrios M.},
 TITLE = {A Quartic Kernel for Pathwidth-One Vertex Deletion},
 BOOKTITLE = {Graph Theoretic Concepts in Computer Science - 36th International Workshop, WG 2010, Zar{\'o}s, Crete, Greece, June 28-30, 2010 Revised Papers},
 PUBLISHER = {Springer},
 YEAR = {2010},
 TYPE = {Revised Paper},
 VOLUME = {6410},
 PAGES = {196--207},
 SERIES = {Lecture Notes in Computer Science},
 ADDRESS = {Crete, Greece},
 ISBN = {978-3-642-16925-0},
 DOI = {10.1007/978-3-642-16926-7_19},
}

Entry last modified by Geevarghese Philip, 07/08/2014
Hide details for Edit History (please click the blue arrow to see the details)Edit History (please click the blue arrow to see the details)

Editor(s)
[Library]		Created
04/21/2012 04:32:48 PM
Revisions
2.
1.
0.

Editor(s)
Geevarghese Philip
Geevarghese Philip
Geevarghese Philip

Edit Dates
04/21/2012 04:49:57 PM
04/21/2012 04:37:35 PM
04/21/2012 04:32:48 PM

File Attachment Icon
pwone.pdf