%0 Journal Article %T Operations on Covering Numbers of Certain Graph Classes %A Susanth C %A Sunny Joseph Kalayathankal %J Mathematics %D 2015 %I arXiv %X The bounds on the sum and product of chromatic numbers of a graph and its complement are known as Nordhaus-Gaddum inequalities. In this paper, we study the operations on the Independence numbers of graphs with their complement. We also provide a new characterization of certain graph classes. %U http://arxiv.org/abs/1506.03251v1