# Algorithms | Graph Traversals | Question 12

Is the following statement true/false? A DFS of a directed graph always produces the same number of tree edges, i.e., independent of the order in which vertices are considered for DFS.

(A)

True

(B)

False

Explanation:

The statement is false.

A Depth-First Search (DFS) of a directed graph can produce a different number of tree edges depending on the order in which vertices are considered for the DFS. The number of tree edges in a DFS tree depends on the specific traversal path taken during the DFS.

During a DFS, starting from a particular source vertex, the traversal explores the graph by visiting neighboring vertices in a systematic way. The order in which the neighboring vertices are visited impacts the formation of the DFS tree.

Hence (B) is the correct answer.

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