The edges in a certain graph represent roads, and the vertices represent intersections. We want to clean all of the roads and not require the street sweeper to move along streets that have already been cleaned. Should we look for an Euler circuit or a Hamilton circuit?
A)Euler
B)Hamilton
C)either
D)neither

Question

Quizplus · Accepted Answer

An Euler circuit is the correct choice because it involves traversing every edge (road) exactly once, which aligns with the goal of cleaning all roads without retracing any.

The Edges in a Certain Graph Represent Roads, and the Vertices