a.) Draw the undirected graph that is represented as follows:

Vertices: 1, 2, 3, 4, 5, 6, 7

Edges: (5, 6), (4, 6), (3, 7), (6, 7), (5, 7), (1, 4), (2, 4), (2, 3), (4, 7)

b.) Is the graph connected? Is it complete? If it isn't, give a counter exampler to explain.

c.) Draw the directed graph using the same data as above.

d.) Is the directed graph connected? Is it complete? If it isn't, give a counter exampler to explain.