Mean sum labeled independent domination

Abstract

Let G(V,E) be a simple (p,q) graph. A function k is called a mean sum labeled Independent dominating function if k : E(G) ! {1, 2, 3} such that the induced map k defined by k(vi) =  0 if P k(ej ) d(vi) 0(mod 2) 1 else where ej is an edge incident with vi and the set {vi/k(vi) = 1} is a minimal mean sum labeled  Independent dominating set.