#### Answer

A Hamilton path is a path that passes through every vertex in the graph exactly once. An Euler path is a path that passes through every edge in the graph exactly once.

#### Work Step by Step

A Hamilton path is a path that passes through every vertex in the graph exactly once. An Euler path is a path that passes through every edge in the graph exactly once. Note that a Hamilton path refers to vertices in a graph while an Euler path refers to edges in a graph.