What is topological sorting in graphs?
An example of an AI chatbot conversation about topological sorting in graphs.
What is topological sorting in graphs?
Topological sorting 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.
Can you give me an example of where topological sorting is used?
Sure! It's commonly used in scheduling tasks, like determining the order of course prerequisites in a university.
How is topological sorting implemented?
It can be implemented using Depth-First Search (DFS) or Kahn's algorithm, which uses in-degree of vertices.
What are the time complexities of these algorithms?
Both DFS and Kahn's algorithm have a time complexity of O(V + E), where V is the number of vertices and E is the number of edges.
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