What is the space complexity of BFS using an adjacency list representation?

Practice Questions

Q1
What is the space complexity of BFS using an adjacency list representation?
  1. O(V)
  2. O(E)
  3. O(V + E)
  4. O(1)

Questions & Step-by-Step Solutions

What is the space complexity of BFS using an adjacency list representation?
  • Step 1: Understand that BFS (Breadth-First Search) is an algorithm used to explore nodes in a graph.
  • Step 2: Know that in BFS, we use a queue to keep track of the nodes we need to visit next.
  • Step 3: Realize that we also need a 'visited' list to keep track of which nodes have already been explored.
  • Step 4: Identify that the number of vertices (nodes) in the graph is represented by 'V'.
  • Step 5: Understand that both the queue and the visited list can grow to the size of the number of vertices, which is 'V'.
  • Step 6: Conclude that the space used by the queue and the visited list together leads to a total space complexity of O(V).
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