Give examples of walk which is not a trail and a trail which is not a path?

Question

This is a discrete Math question.

Answer 1

A walk that is not a trail is like the walk of life, a physical or spiritual journey. A trail that is not a path is mouse trails on the Windows settings.

Answer 2

Walk: A walk is an alternating sequence of vertices and edges, with each edge being incident to the vertices immediately preceeding and succeeding it in the sequence.
Trail: A trail is a walk with no repeated edges.
Path: A path is a walk with no repeated vertices (observe that a path is necessarily a trail).
Cycle: A cycle is a closed trail (ie: v 0 =v n , otherwise, it's called an open trail) with at least one edge and with no repeated vertices except that the initial vertex is the terminal vertex.

An example of a "walk" could be as simple as an ordinary staircase.
It is also a "trail"; all the treads and risers are independent and do not share any of the same surfaces.
It is also a "path"; all the joins between riser and tread are individual (no more than one riser/tread combination at any vertex).