Question: What is the space complexity of BFS in the worst case?
Options:
O(V)
O(E)
O(V + E)
O(V^2)
Correct Answer: O(V)
Solution:
The space complexity of BFS in the worst case is O(V) due to the storage of the queue.
What is the space complexity of BFS in the worst case?
Practice Questions
Q1
What is the space complexity of BFS in the worst case?
O(V)
O(E)
O(V + E)
O(V^2)
Questions & Step-by-Step Solutions
What is the space complexity of BFS in the worst case?
Step 1: Understand what BFS (Breadth-First Search) is. It is an algorithm used to explore nodes and edges of a graph.
Step 2: Identify what space complexity means. Space complexity refers to the amount of memory space required by an algorithm to run as a function of the size of the input.
Step 3: In BFS, we use a queue to keep track of the nodes that need to be explored.
Step 4: Determine what V represents. V is the number of vertices (or nodes) in the graph.
Step 5: In the worst case, BFS may need to store all the vertices in the queue at once, especially in a wide graph.
Step 6: Since the queue can hold up to V vertices, the space complexity is O(V).
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