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DATopological order is a linear ordering of vertices in a Directed Acyclic Graph (DAG) such that for every directed edge (u, v), vertex u comes before vertex v in the ordering. This concept is widely used to represent dependencies between tasks, where an edge from u to v implies that u must be completed before v.
Key Characteristics:
1. Applicable only to DAGs (graphs without cycles).
2. Ensures precedence constraints are respected.
Applications:
Task scheduling (e.g., job scheduling, build systems).
Course prerequisite checking.
Dependency resolution in package managers.
Algorithm:
Topological sorting can be achieved using:
1. Kahn's Algorithm (iterative, using in-degree of nodes).
2. Depth-First Search (DFS) (recursive, utilizing a stack).
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