Question:
What is the worst-case time complexity of depth first search of a graph with ‘V’ nodes and ‘E’ edges?
What is the worst-case time complexity of depth first search of a graph with ‘V’ nodes and ‘E’ edges?
Show Hint
DFS uses \(O(V + E)\) because it traverses all nodes and adjacent edges.
Updated On: May 26, 2025
- \(O(V + E)\)
- \(O(V)\)
- \(O(E)\)
- \(O(V \times E)\)
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The Correct Option is A
Solution and Explanation
In DFS, each vertex and each edge is visited once in the worst case. Hence, the time complexity is \(O(V + E)\).
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