“…The first self-stabilizing algorithm for (minimal) dominating set was proposed by Hedetniemi et al [9]. After that, many variants of self-stabilising algorithms have been proposed imposing additional parameters of domination like total domination [10,11], efficient domination [12,13], connected dominating set [14,15], influence domination [16,17], distance-k domination [18]. Each parameter has its benefits according to the used application.…”