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).
