Basic Network

Introduction to Networks
Can you traverse the network of roads without repeating any roads? At present, you live in Hamilton and once a month visit your mother in Wairoa. What is the shortest distance you have to travel to visit your mother? Occasionally, you deliver only to the shops actually in the towns. Describe a possible route that visits each town just once and minimise the distance you will have to travel. Give both the route and the minimum distance you will have to travel.