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QWhat is the time complexity of a depth-first search (DFS) algorithm on a directed acyclic graph (DAG) with V vertices and E edges?

ID: #15269 Time Complexity 253 views
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#15269Q ID
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Time ComplexityTopic
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  • A O(1) ✔ ✖
  • B O(log V) ✔ ✖
  • C O(V) ✔ ✖
  • D O(V + E) ✔ ✖
Correct Answer: Option D

Explanation

In a depth-first search (DFS) algorithm on a directed acyclic graph (DAG), each vertex is visited once, and each edge is traversed once. The time complexity of DFS on a DAG is proportional to the sum of the number of vertices (V) and the number of edges (E), denoted as O(V + E).

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