Directed Graph
A directed graph (or digraph) is a mathematical structure consisting of a set of vertices (nodes) connected by edges (arcs) that have a direction, indicating a one-way relationship from a source vertex to a target vertex. It is widely used in computer science to model systems with asymmetric connections, such as dependencies, flows, or hierarchies. Directed graphs are fundamental in algorithms, data structures, and applications like network routing, social networks, and task scheduling.
Developers should learn directed graphs when working on problems involving dependencies, such as build systems (e.g., Makefiles), package managers (e.g., npm), or task scheduling (e.g., topological sorting). They are essential for modeling real-world scenarios like web page links, financial transactions, or state machines in software design, enabling efficient algorithms for traversal, cycle detection, and pathfinding.