Discussiones Mathematicae Graph Theory 28(2) (2008) 335-343
doi: 10.7151/dmgt.1409

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A NOTE ON DOMINATION PARAMETERS IN RANDOM GRAPHS

Anthony Bonato

Department of Mathematics
Wilfrid Laurier University
Waterloo, ON, Canada, N2L 3C5
e-mail: abonato@rogers.com

Changping Wang

Department of Mathematics
Ryerson University
Toronto, ON, Canada, M5B 2K3
e-mail: cpwang@ryerson.ca

Abstract

Domination parameters in random graphs G(n,p), where p is a fixed real number in (0,1), are investigated. We show that with probability tending to 1 as n→ ∞, the total and independent domination numbers concentrate on the domination number of G(n,p).

Keywords: domination, random graphs, independent domination, total domination.

2000 Mathematics Subject Classification: 05C69, 05C80.

References

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Received 11 January 2008
Revised 3 March 2008
Accepted 3 March 2008