\(K\)-Dominating Sets of \(P_{2k+2} \times P_n\) and \(P_m \times P_n\)

In this paper we determine the \(k\)-domination number \(\gamma_k\) of \(P_{2k+2} \times P_n\) and \(\lim_{{m,n} \to \infty} \frac{\Gamma_k(P_m \times P_n)}{mn}\).