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Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Arumugam, S.
Chandrasekar, K. Raja
Misra, Neeldhara
Philip, Geevarghese
Saurabh, Saket
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Not MPG Author(s):
Arumugam, S.
Chandrasekar, K. Raja
Misra, Neeldhara
Saurabh, Saket
Editor(s):
Iliopoulos, Costas S.
Smyth, William F.
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dblp
Not MPII Editor(s):
Iliopoulos, Costas S.
Smyth, William F.
BibTeX cite key*:
arumugamchandrasekarmisraphilipsaurabh2011
Title, Booktitle
Title*:
Algorithmic Aspects of Dominator Colorings in Graphs
DomChrom.pdf (477.95 KB)
Booktitle*:
Combinatorial Algorithms - 22nd International Workshop, IWOCA 2011, Victoria, BC, Canada, July 20-22, 2011, Revised Selected Papers
Event, URLs
Conference URL::
http://webhome.cs.uvic.ca/~wendym/IWOCA/IWOCA_2011.html
Downloading URL:
http://www.springerlink.com/content/77u164v1175x8485/fulltext.pdf
Event Address*:
Victoria, Canada
Language:
English
Event Date*
(no longer used):
Organization:
Event Start Date:
20 June 2011
Event End Date:
22 June 2011
Publisher
Name*:
Springer
URL:
http://www.springer.com
Address*:
Berlin
Type:
Revised Selected Paper
Vol, No, Year, pp.
Series:
Lecture Notes in Computer Science
Volume:
7056
Number:
Month:
Pages:
19-30
Year*:
2011
VG Wort Pages:
ISBN/ISSN:
978-3-642-25010-1
Sequence Number:
DOI:
10.1007/978-3-642-25011-8
Note, Abstract, ©
(LaTeX) Abstract:
In this paper we initiate a systematic study of a problem that
has the flavor of two classical problems, namely {\sc Coloring}
and {\sc Domination}, from the perspective of algorithms and
complexity. A {\it dominator coloring} of a graph $G$ is an
assignment of colors to the vertices of $G$ such that it is a
proper coloring and every vertex dominates all the vertices of
at least one color class. The minimum number of colors required
for a dominator coloring of $G$ is called the {\it dominator
chromatic number} of $G$ and is denoted by $\chi_d(G).$ In the
{\sc Dominator Coloring (DC)} problem, a graph $G$ and a
positive integer $k$ are given as input and the objective is to
check whether $\chi_d(G)\leq k$. We first show that unless P=NP,
DC cannot be solved in polynomial time on bipartite, planar, or
split graphs.
This resolves an open problem posed by Chellali and Maffray
[{\it Dominator Colorings in Some Classes of Graphs, Graphs and
Combinatorics, 2011}] about the polynomial time solvability of
DC on chordal graphs.
We then complement these hardness results by showing that the
problem is fixed parameter tractable (FPT) on chordal graphs and
in graphs which exclude a fixed apex graph as a
minor.
URL for the Abstract:
http://www.springerlink.com/content/77u164v1175x8485/
Keywords:
Dominator Coloring, Fixed-Parameter Tractability, Chordal Graphs, Apex-Minor-Free Graphs
Copyright Message:
Copyright Springer Berlin 2011. 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 IWOCA 2011, Victoria, Canada, July 20-22, 2011. Lecture Notes in Computer Science, Volume 7056. The original publication is available at www.springerlink.com : http://www.springerlink.com/content/77u164v1175x8485/
Download
Access Level:
Public

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



BibTeX Entry:

@INPROCEEDINGS{arumugamchandrasekarmisraphilipsaurabh2011,
AUTHOR = {Arumugam, S. and Chandrasekar, K. Raja and Misra, Neeldhara and Philip, Geevarghese and Saurabh, Saket},
EDITOR = {Iliopoulos, Costas S. and Smyth, William F.},
TITLE = {Algorithmic Aspects of Dominator Colorings in Graphs},
BOOKTITLE = {Combinatorial Algorithms - 22nd International Workshop, IWOCA 2011, Victoria, BC, Canada, July 20-22, 2011, Revised Selected Papers},
PUBLISHER = {Springer},
YEAR = {2011},
TYPE = {Revised Selected Paper},
VOLUME = {7056},
PAGES = {19--30},
SERIES = {Lecture Notes in Computer Science},
ADDRESS = {Victoria, Canada},
ISBN = {978-3-642-25010-1},
DOI = {10.1007/978-3-642-25011-8},
}


Entry last modified by Geevarghese Philip, 07/08/2014
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Editor(s)
[Library]
Created
04/22/2012 01:58:28 PM
Revisions
2.
1.
0.

Editor(s)
Geevarghese Philip
Jennifer Müller
Geevarghese Philip

Edit Dates
12/08/2012 04:40:38 AM
02.05.2012 15:34:02
04/22/2012 01:58:28 PM


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