Which of the following statements accurately represents how Depth First Search…

2025

Which of the following statements accurately represents how Depth First Search (DFS) navigates through a graph?

  1. A.

    It follows a path deeply into the graph, backtracking only when necessary.

  2. B.

    It visits all neighbors of a node before proceeding to the next depth level.

  3. C.

    It relies on a queue to manage nodes during traversal.

  4. D.

    It ensures finding the shortest path in an unweighted graph.

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Correct answer: A

Depth First Search (DFS) is a classic graph traversal algorithm that prioritizes depth over breadth.

The Mechanism: Starting from a root/source node, DFS selects an adjacent neighbor and moves to it. It repeats this process, plunging down a single path until it hits a "dead end"—either a node with no outgoing edges or a node where all neighbors have already been visited.

Backtracking: Once it hits this dead end, the algorithm backtracks to the most recent node that still has unvisited neighbors and repeats the deep exploration along that new path.

Data Structure: Because it needs to remember the path to return upward, it naturally uses a Stack (Last-In, First-Out) mechanism.

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