What is the time complexity of BFS in a graph with V vertices and E edges?

Practice Questions

Q1
What is the time complexity of BFS in a graph with V vertices and E edges?
  1. O(V + E)
  2. O(V^2)
  3. O(E log V)
  4. O(V log V)

Questions & Step-by-Step Solutions

What is the time complexity of BFS in a graph with V vertices and E edges?
  • Step 1: Understand that BFS stands for Breadth-First Search, which is a way to explore a graph.
  • Step 2: Identify that a graph consists of vertices (points) and edges (connections between points).
  • Step 3: Realize that in BFS, we visit each vertex and each edge to explore the graph.
  • Step 4: Note that visiting each vertex takes O(V) time, where V is the number of vertices.
  • Step 5: Understand that traversing each edge takes O(E) time, where E is the number of edges.
  • Step 6: Combine the time taken to visit all vertices and edges, which gives us O(V + E).
  • Step 7: Conclude that the overall time complexity of BFS is O(V + E).
No concepts available.
Soulshift Feedback ×

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

Not likely Very likely