In Depth-First Search (DFS), which data structure is primarily used to keep trac

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Question: In Depth-First Search (DFS), which data structure is primarily used to keep track of the vertices to be explored?

Options:

Correct Answer: Stack

Solution:

DFS uses a stack (either explicitly or via recursion) to keep track of the vertices.

In Depth-First Search (DFS), which data structure is primarily used to keep track of the vertices to be explored?

In Depth-First Search (DFS), which data structure is primarily used to keep track of the vertices to be explored?

Step 1: Understand that Depth-First Search (DFS) is a method for exploring graphs or trees.
Step 2: Recognize that during the search, we need to remember which vertices (or nodes) we have visited and which ones we still need to explore.
Step 3: Learn that a stack is a data structure that follows the Last In, First Out (LIFO) principle, meaning the last item added is the first one to be removed.
Step 4: Realize that in DFS, we use a stack to keep track of the vertices we need to explore next.
Step 5: Note that this stack can be implemented explicitly (by creating a stack data structure) or implicitly (by using the call stack through recursion).
Step 6: Conclude that the primary data structure used in DFS to keep track of vertices is a stack.

Depth-First Search (DFS) – A graph traversal algorithm that explores as far as possible along each branch before backtracking.
Data Structures in DFS – DFS primarily utilizes a stack data structure to manage the vertices that need to be explored.