An 
-route is defined as a walk
of length 
with specified initial point in which
no line succeeds itself.
Route
See also
Arc-Transitive GraphExplore with Wolfram|Alpha
References
Harary, F. Graph Theory. Reading, MA: Addison-Wesley, p. 173, 1994.Referenced on Wolfram|Alpha
RouteCite this as:
Weisstein, Eric W. "Route." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Route.html