Then there can not be a repeated edge in a path. If an edge occurs twice in the same path, then both of its endpoints would also occur twice among the visited vertices.

Can a path repeat a vertex?

The degree of a vertex is the number of edges incident with that vertex. A path is a sequence of vertices with the property that each vertex in the sequence is adjacent to the vertex next to it. A path that does not repeat vertices is called a simple path.

In which repeated edge is allowed?

Path in Graph Theory-

Neither vertices (except possibly the starting and ending vertices) are allowed to repeat. Nor edges are allowed to repeat.