#### Answer

A Hamilton circuit is a path that passes through every vertex in the graph exactly once, and also starts and ends at the same vertex. An Euler circuit is a path that passes through every edge in the graph exactly once, and also starts and ends at the same vertex.

#### Work Step by Step

A Hamilton circuit is a path that passes through every vertex in the graph exactly once, and also starts and ends at the same vertex. An Euler circuit is a path that passes through every edge in the graph exactly once, and also starts and ends at the same vertex. Note that a Hamilton circuit refers to vertices in a graph while an Euler circuit refers to edges in a graph.