PRODUCTS OF GRAPHS AND NORDHAUS-GADDUM TYPE INEQUALITIES

In this paper‎, ‎we obtain $alpha$ as coefficient for the $G=K_{alpha n} cup overline{K_{(1alpha)n}}$ and by which we discuss Nikiforov s conjecture for $lambda_{1}$ and Aouchiche and Hansen s conjecture for $q_1$ in NordhausGaddum type inequalities‎. ‎Furthermore‎, ‎by the properties of the products of graphs we put forward a new approach to find some bounds of Nordhaus-Gaddum type inequalities‎.