Topological order

Topological order is a linear ordering of the vertices of a directed acyclic graph (DAG) such that for every directed edge \( uv \) from vertex \( u \) to vertex \( v \), vertex \( u \) comes before vertex \( v \) in the ordering. This concept is particularly useful in scenarios where certain tasks must be performed in a specific order, such as scheduling problems, course prerequisite systems, and dependency resolution.