#### Answer

The purpose of Fleury's Algorithm is to find an Euler path or an Euler circuit in a graph.

#### Work Step by Step

If a connected graph has 0 odd vertices, then the graph has at least one Euler path and at least one Euler circuit. If a connected graph has exactly 2 odd vertices, then the graph has at least one Euler path.
If we know that there is an Euler path or an Euler circuit in a graph, we can use Fleury's Algorithm to find one. The purpose of Fleury's Algorithm is to find an Euler path or an Euler circuit in a graph.