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If w = (e 1, e 2, …, e n − 1) is a finite walk with vertex sequence (v 1, v 2, …, v n) then w is said to be a walk from v 1 to v n. Similarly for a trail or a path. If there is a finite walk between two distinct vertices then there is also a finite trail and a finite path between them.
A mass path is a pedestrian track or road connecting destinations frequently used by rural communities, most usually the destination of Sunday Mass. They were most common during the centuries that preceded motorised transportation in Western Europe, and in particular the British Isles and the Netherlands (where such a path is called "kerkenpad ...
An Eulerian trail, [note 1] or Euler walk, in an undirected graph is a walk that uses each edge exactly once. If such a walk exists, the graph is called traversable or semi-eulerian. [3] An Eulerian cycle, [note 1] also called an Eulerian circuit or Euler tour, in an undirected graph is a cycle that uses each edge exactly once.
A trail, also known as a path or track, is an unpaved lane or a small paved road not intended for usage by motorized vehicles, usually passing through a natural area. In the United Kingdom and Ireland , a path or footpath is the preferred term for a pedestrian or hiking trail. [ 1 ]
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vertex exactly once. A Hamiltonian path that starts and ends at adjacent vertices can be completed by adding ...
You can Nordic walk on any type of terrain as long as you have poles. (There is a specific difference between Nordic walking poles and trekking poles, but more on that below!)
Sidewalks played an important role in transportation, as they provided a path for people to walk along without stepping on horse manure. They aided road safety by minimizing interaction between pedestrians, horses, carriages, and later automobiles.
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