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Dfs #6772

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5 changes: 5 additions & 0 deletions code/algorithm_applications/src/depth_first_search/README.md
@@ -0,0 +1,5 @@
# Depth-First Search (DFS)

is a graph traversal algorithm that explores a graph or tree data structure by visiting as far down a branch as possible before backtracking. It's called "depth-first" because it explores as deeply as possible along each branch before moving to a sibling branch. DFS can be implemented using both iterative and recursive methods. It is a fundamental algorithm for many graph-related tasks, including searching for paths, determining connectivity, and exploring tree structures.

# For further reading about this you can visit : https://www.geeksforgeeks.org/python-program-for-depth-first-search-or-dfs-for-a-graph/
57 changes: 57 additions & 0 deletions code/algorithm_applications/src/depth_first_search/dfs.py
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# Python3 program to print DFS traversal
# from a given given graph
from collections import defaultdict

# This class represents a directed graph using
# adjacency list representation


class Graph:
# Constructor
def __init__(self):
# default dictionary to store graph
self.graph = defaultdict(list)

# function to add an edge to graph
def addEdge(self, u, v):
self.graph[u].append(v)

# A function used by DFS
def DFSUtil(self, v, visited):
# Mark the current node as visited
# and print it
visited.add(v)
print(v, end=" ")

# Recur for all the vertices
# adjacent to this vertex
for neighbour in self.graph[v]:
if neighbour not in visited:
self.DFSUtil(neighbour, visited)

# The function to do DFS traversal. It uses
# recursive DFSUtil()
def DFS(self, v):
# Create a set to store visited vertices
visited = set()

# Call the recursive helper function
# to print DFS traversal
self.DFSUtil(v, visited)


# Driver code


# Create a graph given
# in the above diagram
g = Graph()
g.addEdge(0, 1)
g.addEdge(0, 2)
g.addEdge(1, 2)
g.addEdge(2, 0)
g.addEdge(2, 3)
g.addEdge(3, 3)

print("Following is DFS from (starting from vertex 2)")
g.DFS(2)