Suppose you present a project and your supervisor comments that the graphics need to be higher quality and suggest that you replace a circuit board. To what circuit board is your supervisor referring?

1. define independent-set as the problem that takes a graph g and an integer k and asks whether g contains an independent set of vertices of size k. that is, g contains a set i of vertices of size k such that, for any v and w in i, there is no edge (v,w) in g. show that independent-set is np-complete.