You can easily select a path of edges between two or more vertices on a surface mesh using the Select Shortest Edge Path Tool. The Select Shortest Edge Path Tool determines the most direct path between any two selection points and selects the polygon edges in between.

The Select Shortest Edge Path Tool is particularly well suited to selecting a long and possibly winding path of edges on a surface mesh when you need to subsequently perform a Cut UV Edges operation when Unfolding UV shells.