Which traversal method is guaranteed to visit all vertices in a connected graph?

Practice Questions

Q1
Which traversal method is guaranteed to visit all vertices in a connected graph?
  1. BFS
  2. DFS
  3. Both BFS and DFS
  4. Neither BFS nor DFS

Questions & Step-by-Step Solutions

Which traversal method is guaranteed to visit all vertices in a connected graph?
  • Step 1: Understand what a connected graph is. A connected graph is a type of graph where there is a path between every pair of vertices.
  • Step 2: Learn about traversal methods. There are two common methods to traverse a graph: Breadth-First Search (BFS) and Depth-First Search (DFS).
  • Step 3: Know that both BFS and DFS start at a vertex and explore all reachable vertices from that starting point.
  • Step 4: Since the graph is connected, both BFS and DFS will eventually reach all vertices because there is a path to each vertex from the starting point.
  • Step 5: Conclude that both BFS and DFS are guaranteed to visit all vertices in a connected graph.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely