Question: What is the space complexity of BFS in a graph?
Options:
O(V)
O(E)
O(V + E)
O(1)
Correct Answer: O(V)
Solution:
The space complexity of BFS is O(V) due to the storage of the queue that can hold all vertices at the current level.
What is the space complexity of BFS in a graph?
Practice Questions
Q1
What is the space complexity of BFS in a graph?
O(V)
O(E)
O(V + E)
O(1)
Questions & Step-by-Step Solutions
What is the space complexity of BFS in a graph?
Step 1: Understand what BFS (Breadth-First Search) is. It is an algorithm used to explore nodes and edges of a graph level by level.
Step 2: Identify what 'space complexity' means. It 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. This queue stores the vertices (nodes) of the graph.
Step 4: The maximum number of vertices that can be stored in the queue at any time is equal to the number of vertices in the graph, denoted as V.
Step 5: Therefore, the space required for the queue in BFS is proportional to the number of vertices, which is O(V).
Step 6: Conclude that the space complexity of BFS in a graph is O(V).
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