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

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

Options:

Correct Answer: O(V)

Solution:

BFS requires space for the queue and visited list, leading to a space complexity of O(V) for the vertices.

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

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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