In a depth-first search (DFS) traversal of a graph, which data structure is used to store visited vertices?StackQueueHeapHash table

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Solution 1

In a depth-first search (DFS) traversal of a graph, a Stack data structure is used to store visited vertices.

Solution 2

In a depth-first search (DFS) traversal of a graph, the data structure that is used to store visited vertices is a Stack.

Here's a step-by-step explanation:

Start at the root (or any arbitrary node of a graph, sometimes referred to as a 'search key').
Push the root to the Stack.
Loop until the Stack is empty.
Peek at the top node in the Stack.
If the top node has unvisited children, mark the top node as visited, and push any unvisited children back into the Stack.
If the top node does not have any unvisited children, pop that node off the Stack.
Repeat steps 4-6 until the Stack is empty.

This is why a Stack is used in DFS. It allows the algorithm to backtrack when it has explored as far as it can along each path. This is done by popping vertices from the Stack until it finds a vertex with an unexplored adjacent vertex.

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