Directed trail
from class: Math for Non-Math Majors Definition A directed trail is a sequence of edges in a directed graph, where each edge is traversed exactly once and follows the direction from one vertex to another. It allows revisiting vertices but not edges.
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Predict what's on your test 5 Must Know Facts For Your Next Test A directed trail does not allow repeated edges, but vertices can be revisited. The direction of traversal must follow the orientation from the start to the end vertex. Every path in a directed graph can be considered a directed trail, but not all directed trails are paths. A closed directed trail starts and ends at the same vertex and is known as a directed circuit or cycle. Identifying whether a given sequence of edges forms a valid directed trail often requires checking both directionality and edge usage. Review Questions What distinguishes a directed trail from an undirected trail? Can a vertex be revisited in a directed trail? Explain your answer. What is the difference between a directed path and a directed trail?
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