Problem #3: (45 pts) (a) Model the following situation a graphs. Draw the graph, and give the corresponding adjacenty matrix. Ann and Bob are friends. Ann is also friends with Carla and David. Bob, Carla and Evans are all friends of each other. (b) Either draw a graph with the following specified properties, or explain why no such graph exists: A simple graph with five vertices with degrees 2, 3, 3, 3, and 5. ( continue on next page)