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80 changes: 71 additions & 9 deletions graphs/depth_first_search_2.py
Original file line number Diff line number Diff line change
Expand Up @@ -9,12 +9,44 @@ def __init__(self):

# for printing the Graph vertices
def print_graph(self) -> None:
"""
Print the graph vertices.

Example:
>>> g = Graph()
>>> g.add_edge(0, 1)
>>> g.add_edge(0, 2)
>>> g.add_edge(1, 2)
>>> g.add_edge(2, 0)
>>> g.add_edge(2, 3)
>>> g.add_edge(3, 3)
>>> g.print_graph()
{0: [1, 2], 1: [2], 2: [0, 3], 3: [3]}
0 -> 1 -> 2
1 -> 2
2 -> 0 -> 3
3 -> 3
"""
print(self.vertex)
for i in self.vertex:
print(i, " -> ", " -> ".join([str(j) for j in self.vertex[i]]))

# for adding the edge between two vertices
def add_edge(self, from_vertex: int, to_vertex: int) -> None:
"""
Add an edge between two vertices.

:param from_vertex: The source vertex.
:param to_vertex: The destination vertex.

Example:
>>> g = Graph()
>>> g.add_edge(0, 1)
>>> g.add_edge(0, 2)
>>> g.print_graph()
{0: [1, 2]}
0 -> 1 -> 2
"""
# check if vertex is already present,
if from_vertex in self.vertex:
self.vertex[from_vertex].append(to_vertex)
Expand All @@ -23,6 +55,21 @@ def add_edge(self, from_vertex: int, to_vertex: int) -> None:
self.vertex[from_vertex] = [to_vertex]

def dfs(self) -> None:
"""
Perform depth-first search (DFS) traversal on the graph
and print the visited vertices.

Example:
>>> g = Graph()
>>> g.add_edge(0, 1)
>>> g.add_edge(0, 2)
>>> g.add_edge(1, 2)
>>> g.add_edge(2, 0)
>>> g.add_edge(2, 3)
>>> g.add_edge(3, 3)
>>> g.dfs()
0 1 2 3
"""
# visited array for storing already visited nodes
visited = [False] * len(self.vertex)

Expand All @@ -32,18 +79,41 @@ def dfs(self) -> None:
self.dfs_recursive(i, visited)

def dfs_recursive(self, start_vertex: int, visited: list) -> None:
"""
Perform a recursive depth-first search (DFS) traversal on the graph.

:param start_vertex: The starting vertex for the traversal.
:param visited: A list to track visited vertices.

Example:
>>> g = Graph()
>>> g.add_edge(0, 1)
>>> g.add_edge(0, 2)
>>> g.add_edge(1, 2)
>>> g.add_edge(2, 0)
>>> g.add_edge(2, 3)
>>> g.add_edge(3, 3)
>>> visited = [False] * len(g.vertex)
>>> g.dfs_recursive(0, visited)
0 1 2 3
"""
# mark start vertex as visited
visited[start_vertex] = True

print(start_vertex, end=" ")
print(start_vertex, end="")

# Recur for all the vertices that are adjacent to this node
for i in self.vertex:
if not visited[i]:
print(" ", end="")
self.dfs_recursive(i, visited)


if __name__ == "__main__":
import doctest

doctest.testmod()

g = Graph()
g.add_edge(0, 1)
g.add_edge(0, 2)
Expand All @@ -55,11 +125,3 @@ def dfs_recursive(self, start_vertex: int, visited: list) -> None:
g.print_graph()
print("DFS:")
g.dfs()

# OUTPUT:
# 0 -> 1 -> 2
# 1 -> 2
# 2 -> 0 -> 3
# 3 -> 3
# DFS:
# 0 1 2 3