Restrained domination in self-complementary graphs
Wyatt J. Desormeaux, Teresa W. Haynes, Michael A. Henning · Discussiones Mathematicae Graph Theory · 2019
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.