Which of the following is a common application of Depth-First Search (DFS)?

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Question: Which of the following is a common application of Depth-First Search (DFS)?

Options:

Correct Answer: Topological sorting of a directed acyclic graph

Solution:

DFS is commonly used for topological sorting in directed acyclic graphs, as it can explore all vertices and edges in a depth-first manner.

Which of the following is a common application of Depth-First Search (DFS)?

Which of the following is a common application of Depth-First Search (DFS)?

Step 1: Understand what Depth-First Search (DFS) is. It is a method for exploring graphs by going as deep as possible down one path before backtracking.
Step 2: Know what a directed acyclic graph (DAG) is. It is a type of graph that has directed edges and does not have any cycles (no way to return to the same vertex).
Step 3: Learn about topological sorting. It is a way of ordering the vertices in a directed graph so that for every directed edge from vertex A to vertex B, A comes before B in the ordering.
Step 4: Recognize that DFS can be used to perform topological sorting because it can visit all vertices and edges in a depth-first manner, ensuring that all dependencies are respected.

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