The independent domination number of a random graph
Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 1, pp. 129-142.

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We prove a two-point concentration for the independent domination number of the random graph G_n,p provided p²ln(n) ≥ 64ln((lnn)/p).
Keywords: random graph, two-point concentration, independent domination
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Clark, Lane; Johnson, Darin. The independent domination number of a random graph. Discussiones Mathematicae. Graph Theory, Tome 31 (2011) no. 1, pp. 129-142. http://geodesic.mathdoc.fr/item/DMGT_2011_31_1_a6/

[1] N. Alon and J. Spencer, The Probabilistic Method (John Wiley, New York, 1992).

[2] B. Bollobás, Random Graphs (Second Edition, Cambridge University Press, New York, 2001).

[3] A. Bonato and C. Wang, A note on domination parameters in random graphs, Discuss. Math. Graph Theory 28 (2008) 307-322, doi: 10.7151/dmgt.1409.

[4] A. Godbole and B. Wieland, On the domination number of a Random graph, Electronic J. Combin. 8 (2001) 1-13.

[5] T. Haynes, S. Hedetniemi and P. Slater, Fundamentals of Domination in Graphs (Marcel Dekker, Inc., New York, 1998).

[6] T. Haynes, S. Hedetniemi and P. Slater, Domination in Graphs: Advanced Topics (Marcel Dekker, Inc., New York, 1998).

[7] K. Weber, Domination number for almost every graph, Rostocker Matematisches Kolloquium 16 (1981) 31-43.