21.1.3. Recursive Implementation of DFS

Try these first

1. 1.

   What does DFS stand for?

   Hint

   Think about how it explores the graph.

2. 2.

   Describe one main characteristic of DFS.

   Hint

   Focus on its exploration style.

3. 3.

   What is a key feature of DFS?

   • Explores all neighbors first
   • Uses a queue
   • Deeply explores branches

   Hint

   Think about how it moves through the graph.

4. 4.

   True or False: DFS can be implemented using a recursive approach.

   • True
   • False

   Hint

   Recall the method of exploring nodes.

5. 5.

   Given a directed graph with vertices A, B, C, and edges A→B, B→C, C→A. What would the DFS traversal starting from A yield?

   Hint

   Consider each edge and its direction.

6. 6.

   Design an algorithm to detect cycles in an undirected graph using DFS. Outline your approach.

   Hint

   Focus on revisiting nodes besides the direct parent.