Exercise 4. Let G(V,E) be a graph on n vertices. Construct a new graph, G (V, E'), as follows: the vertices of G' are the edges of G (i.e. V'-E), and two distinct edges in G are adjacent in G' if they share an endpoint. (i) Draw G for G K4 (i) Find a formula for the number of edges of G' in terms of the vertex degrees of