Which of the following is a common application of Depth-First Search (DFS)?
Practice Questions
Q1
Which of the following is a common application of Depth-First Search (DFS)?
Finding the shortest path in a graph
Topological sorting of a directed acyclic graph
Finding the minimum spanning tree
Checking for bipartiteness in a graph
Questions & Step-by-Step Solutions
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.
