n graph theory, a component, sometimes called a connected component, of an undirected graph is a subgraph in which any two vertices are connected to each other by paths. Example: 1 3------------7 | | 2--------4 | | | | output = 2 6--------5 ''' # Code is Here def dfs(source,visited,adjacency_list): ''' Function that performs DFS
''
In graph theory, a component, sometimes called a connected component,
of an undirected graph is a subgraph in which any
two vertices are connected to each other by paths.
Example:
1 3------------7
|
|
2--------4
| |
| | output = 2
6--------5
'''
# Code is Here
def dfs(source,visited,adjacency_list):
''' Function that performs DFS '''
visited[source] = True
for child in adjacency_list[source]:
if not visited[child]:
dfs(child,visited,adjacency_list)
def count_components(adjacency_list,size):
'''
Function that counts the Connected components on bases of DFS.
return type : int
'''
count = 0
visited = [False]*(size+1)
for i in range(1,size+1):
if not visited[i]:
dfs(i,visited,adjacency_list)
count+=1
return count
def main():
"""
Example application
"""
node_count,edge_count = map(int, input("Enter the Number of Nodes and Edges \n").split(' '))
adjacency = [[] for _ in range(node_count+1)]
for _ in range(edge_count):
print("Enter the edge's Nodes in form of `source target`\n")
source,target = map(int,input().split(' '))
adjacency[source].append(target)
adjacency[target].append(source).
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