DIRECTED PATH Meaning and
Definition
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A directed path refers to a sequence of vertices in a directed graph, where an edge connects each consecutive pair of vertices, and a direction is assigned to each edge, indicating the order of traversal. It is a directed counterpart of an undirected path in a graph, characterized by the presence of directions and restrictions on how the path can be traversed.
In a directed path, each vertex in the sequence is distinct, meaning no repetition of vertices is allowed. This ensures that the path moves in a forward direction, without revisiting any previously traversed vertices. Furthermore, the edges are followed strictly according to their assigned directions, allowing for unidirectional movement only.
Directed paths serve as important components for various graph algorithms and applications. They can be the foundation for finding the shortest path between two vertices, since the directed nature of the graph affects the determination of the most efficient route. Additionally, directed paths provide insights into the connectivity and reachability of vertices in a directed graph, aiding in tasks such as finding connected components or resolving dependency relationships.
Overall, a directed path is a route in a directed graph that involves traversing consecutive vertices with specified directions on the edges, offering a directed approach to graph exploration and analysis.
Common Misspellings for DIRECTED PATH
- sirected path
- xirected path
- cirected path
- firected path
- rirected path
- eirected path
- durected path
- djrected path
- dkrected path
- dorected path
- d9rected path
- d8rected path
- dieected path
- didected path
- difected path
- ditected path
- di5ected path
- di4ected path
- dirwcted path
- dirscted path
Etymology of DIRECTED PATH
The etymology of the word "directed" can be traced back to the Latin word "dirigere", which means "to set straight" or "to guide". It consists of two Latin roots: "dis-" meaning "apart" or "in different directions", and "regere" meaning "to guide" or "to rule". "Directed" in the context of a directed path implies that there is a clear and specific direction or orientation associated with the path.
The term "path" has its origins in the Old English word "paþ" and is also related to the Middle English word "pathway". It essentially refers to a route, course, or track that is followed to reach a particular destination or objective.
When combined, the phrase "directed path" suggests a path or route that has a defined direction or orientation, indicating a specific order or sequence to follow.
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