Discussiones Mathematicae Graph Theory 29(1) (2009)
71-86
doi: 10.7151/dmgt.1433
Johannes H. Hattingh^{1}, Ernst J. Joubert^{2}, Marc Loizeaux^{3}, Andrew R. Plummer^{4} and Lucas van der Merwe^{3}
^{1}Department of Mathematics and Statistics
Georgia State University
Atlanta, GA 30303-3083, USA
^{2}Department of Mathematics
University of Johannesburg
P.O. Box 524, Auckland Park 2006, South Africa
^{3}Department of Mathematics
University of Tennessee, Chattanooga
615 McCallie Avenue, Chattanooga, TN 37403, USA
^{4}Department of Linguistics
The Ohio State University
222 Oxley Hall, 1712 Neil Avenue, Columbus, OH 43210, USA
Keywords: restrained domination, unicyclic graph.
2000 Mathematics Subject Classification: 05C69.
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[8] | J.H. Hattingh, E. Jonck, E. J. Joubert and A.R. Plummer, Nordhaus-Gaddum results for restrained domination and total restrained domination in graphs, Discrete Math. 308 (2008) 1080-1087, doi: 10.1016/j.disc.2007.03.061. |
[9] | J.H. Hattingh and A.R. Plummer, A note on restrained domination in trees, to appear in Ars Combin. |
[10] | T.W. Haynes, S.T. Hedetniemi and P.J. Slater, Fundamentals of Domination in Graphs (Marcel Dekker, New York, 1997). |
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[13] | B. Zelinka, Remarks on restrained and total restrained domination in graphs, Czechoslovak Math. J. 55 (130) (2005) 393-396, doi: 10.1007/s10587-005-0029-6. |
Received 8 November 2007
Revised 6 October 2008
Accepted 6 October 2008