Geodesic
Restrained Domination in Self-Complementary Graphs
Discussiones Mathematicae. Graph Theory, Tome 41 (2021) no. 2, pp. 633-645

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A self-complementary graph is a graph isomorphic to its complement. A set S of vertices in a graph G is a restrained dominating set if every vertex in V(G) S is adjacent to a vertex in S and to a vertex in V(G) S. The restrained domination number of a graph G is the minimum cardinality of a restrained dominating set of G. In this paper, we study restrained domination in self-complementary graphs. In particular, we characterize the self-complementary graphs having equal domination and restrained domination numbers.
Keywords: domination, complement, restrained domination, self-complementary graph 
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Desormeaux, Wyatt J.; Haynes, Teresa W.; Henning, Michael A. Restrained Domination in Self-Complementary Graphs. Discussiones Mathematicae. Graph Theory, Tome 41 (2021) no. 2, pp. 633-645. http://geodesic.mathdoc.fr/item/DMGT_2021_41_2_a17/