Chapter 7, Problem 2E

The following is a list of the electrical power lines connecting eight small towns labeled $A$ through $H$.

• A power line connecting $A$ and $D$

• A power line connecting $B$ and $C$

• A power line connecting $B$ and $E$

• A power line connecting $B$ and $G$

• A power line connecting $C$ and $G$

• A power line connecting $D$ and $F$

• A power line connecting $D$ and $H$

• A power line connecting $E$ and $G$

Do the power lines form a network? Explain why or why not.