Discussion: 1. Depth-first search (DFS) is a technique that is used to traverse a tree or a graph. DSF technique starts with a root node and then traverses the adjacent nodes of the root node by going deeper into the graph. In the DFS technique, the nodes are traversed depth-wise until there are no more children to explore. - Once we reach the leaf node (no more child nodes), the DFS backtracks and starts with other nodes and carries out traversal n a similar manner. DFS technique uses a stack data structure to store the nodes that are being traversed. DFS Technique (Depth-First Traversal) o Following is the algorithm for the DFS technique. o Algorithm: 1. Start with the root node and insert it into the stack 2. Pop the item from the stack and insert into the ‘visited’ list 3. For the node marked as ‘visited’ (or in visited list), add the adjacent nodes of this node that are not yet marked visited to the stack. 4. Repeat steps 2 and 3 until the stack is empty.
Discussion:
1. Depth-first search (DFS) is a technique that is used to traverse a tree or a graph.
DSF technique starts with a root node and then traverses the adjacent nodes of
the root node by going deeper into the graph. In the DFS technique, the nodes are
traversed depth-wise until there are no more children to explore.
- Once we reach the leaf node (no more child nodes), the DFS backtracks and
starts with other nodes and carries out traversal n a similar manner. DFS
technique uses a stack data structure to store the nodes that are being
traversed.
DFS Technique (Depth-First Traversal)
o Following is the
o Algorithm:
1. Start with the root node and insert it into the stack
2. Pop the item from the stack and insert into the ‘visited’ list
3. For the node marked as ‘visited’ (or in visited list), add the adjacent nodes
of this node that are not yet marked visited to the stack.
4. Repeat steps 2 and 3 until the stack is empty.
![art I: DFS Technique (Depth-First Traversal)
o
Following is the algorithm for the DFS technique.
Algorithm:
1. Start with the root node and insert it into the stack
2. Pop the item from the stack and insert into the 'visited' list
3.
For the node marked as 'visited' (or in visited list), add the adjacent nodes
of this node that are not yet marked visited to the stack.
4. Repeat steps 2 and 3 until the stack is empty.
o Sample DFS Output
Depth First Traversal for given graph (with 0 as starting vertex)
0 1 2 4 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67c23ad9-2e7c-4ad7-94bc-1aab1204b817%2F9ef27c42-6116-4cc5-995f-b70db08f16b8%2Fjmz8u5f_processed.png&w=3840&q=75)
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