Abstract Let T (X) be a full transformation semigroup on a nonempty set X. The Cayley digraph Γ of a semigroup T (X) with respect to the Green’s L L -class is a digraph with vertex set T (X) and two vertices α, β ∈ T (X) are adjacent as an arc (α, β) whenever β = αμ for some μ in a connection set L L -class. In this paper, we investigate the domination parameters of Cayley digraphs Γ and their complements Γ ̄ consisting of domination, total domination, independent domination, connected domination, and split domination.
Chaiya et al. (Thu,) studied this question.