A path is tuple of edges. A path (e1,e2,e3,…en) has the special property that ∀i ∈ [1…n−1] : ei = (vi,vi+1),ei+1 = (vi+1,vi+2) ∈ E. In English, a path is a tuple of edges so that the destination vertex of one edge is the source vertex of the next edge in the tuple.
Note that there may exist multiple paths between two vertices.