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QWhat is the time complexity of a depth-first search (DFS) algorithm on a tree with N nodes?

ID: #15257 Time Complexity 147 views
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  • A O(1) ✔ ✖
  • B O(log N) ✔ ✖
  • C O(N) ✔ ✖
  • D O(N^2) ✔ ✖
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In a depth-first search (DFS) algorithm on a tree, each node is visited exactly once, and each edge is traversed once. As a tree has N-1 edges for N nodes, the time complexity of DFS on a tree is proportional to the number of nodes, denoted as O(N).

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