Description: A directed edge in a directed graph is a connection between two nodes that has a specific direction, meaning it can be traversed in only one direction. This feature is fundamental for representing asymmetric relationships between elements of the graph. In a directed graph, nodes are represented as vertices and edges as arrows indicating the direction of information flow or the relationship between nodes. For example, if there is a directed edge from node A to node B, this implies that there is a relationship going from A to B, but not necessarily from B to A. Directed edges are essential in various applications, as they allow modeling situations where direction is crucial, such as in transportation networks, workflows, and information systems. Additionally, edges can have associated weights, representing costs, distances, or capacities, adding an extra layer of complexity and utility to the graph. In summary, directed edges are key components in graph theory, enabling the representation and analysis of complex structures where the direction of relationships is a determining factor.
