What is the primary application of DFS in graph theory?

What is the primary application of DFS in graph theory?

Step 1: Understand what DFS stands for. DFS means Depth-First Search, which is a method for exploring graphs.
Step 2: Know what a graph is. A graph consists of nodes (or vertices) connected by edges.
Step 3: Learn about directed acyclic graphs (DAGs). A DAG is a type of graph that has directed edges and does not have any cycles (no way to return to the same node).
Step 4: Understand what topological sorting means. Topological sorting is a way of arranging the nodes in a DAG so that for every directed edge from node A to node B, node A comes before node B in the ordering.
Step 5: Recognize that DFS is used to perform topological sorting. By using DFS, we can explore the graph and determine the correct order of nodes.

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