What is a common application of DFS?

Practice Questions

Q1
What is a common application of DFS?
  1. Finding the shortest path in a weighted graph.
  2. Topological sorting of a directed acyclic graph.
  3. Finding the minimum spanning tree.
  4. Finding connected components in a graph.

Questions & Step-by-Step Solutions

What is a common application of DFS?
  • Step 1: Understand what DFS stands for - it means Depth-First Search, which is a method for exploring graphs.
  • Step 2: Know what a directed acyclic graph (DAG) is - it's a type of graph that has directed edges and no cycles (no way to return to the same node).
  • Step 3: Learn about topological sorting - it's a way to arrange the nodes of a DAG in a linear order such that for every directed edge from node A to node B, A comes before B in the order.
  • Step 4: Recognize that DFS can be used to perform this topological sorting by exploring each node and its connections deeply before moving to the next node.
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