5. [15 points (a) 4 points Consider a graph with vertices V = {.....07} whose degrees are d(u) = 3. d(u) = 2, d() = 4, dwa) = 1. d(es) = 2, d() = 1, dvy) = 3. Can G be a tree? (b) 17 points Given a directed graph G with vertices (1..... 12) and edges given by IVO 1 2 2 2 3 3 4 5 5 5 6 6 7 7 8 8 9 9 10 10 TVC 358 9 4 9 10 46 85 84 10 2 3 1 7 4 7 Find strongly connected components of G. (c) 4 points Define the condensation of a graph and draw the condensation of the graph from (b)