• REAL AND CLONE DOMINATION NUMBER OF SEMI COMPLEMENTARY SPLITTING GRAPH

Abstract

A subset D of R is said to be a Real dominating set of S′(G), if every vertex v in R – D is R – adjacent to a vertex  of D. The minimum cardinality of vertices in such a set is called the R – domination number of S′(G) and is denoted by γ_R(S′(G)). A subset D of R is said to be a Clone dominating set of S′(G), if every vertex v′ є C is C – adjacent to a vertex of D. The minimum cardinality of vertices in such a set is called the Clone domination number of S′(G) and is denoted  by γ_C(S′(G))  .