Topological Sorting Using DFS
Explore how to implement topological sorting in directed acyclic graphs using depth-first search. Understand the ordering of vertices based on dependencies, and learn to code the algorithm in C++. This lesson helps you grasp the concept of topological ordering to solve scheduling and dependency problems efficiently.
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Problem statement
In the field of computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that for every directed edge (u, v) from vertex u to vertex v, u comes before v in the ordering. For instance, the vertices of the graph may represent tasks to be performed, and the edges may represent constraints that one task must be performed before another. In this application, a topological ordering is just a valid sequence for the tasks. A topological ordering is possible if and only if the graph has no directed cycles, i.e, if it is ...