mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 05:21:09 +00:00
32 lines
909 B
Python
32 lines
909 B
Python
|
# Finding Bridges in Undirected Graph
|
||
|
def computeBridges(l):
|
||
|
id = 0
|
||
|
n = len(l) # No of vertices in graph
|
||
|
low = [0] * n
|
||
|
visited = [False] * n
|
||
|
|
||
|
def dfs(at, parent, bridges, id):
|
||
|
visited[at] = True
|
||
|
low[at] = id
|
||
|
id += 1
|
||
|
for to in l[at]:
|
||
|
if to == parent:
|
||
|
pass
|
||
|
elif not visited[to]:
|
||
|
dfs(to, at, bridges, id)
|
||
|
low[at] = min(low[at], low[to])
|
||
|
if at < low[to]:
|
||
|
bridges.append([at, to])
|
||
|
else:
|
||
|
# This edge is a back edge and cannot be a bridge
|
||
|
low[at] = min(low[at], to)
|
||
|
|
||
|
bridges = []
|
||
|
for i in range(n):
|
||
|
if (not visited[i]):
|
||
|
dfs(i, -1, bridges, id)
|
||
|
print(bridges)
|
||
|
|
||
|
l = {0:[1,2], 1:[0,2], 2:[0,1,3,5], 3:[2,4], 4:[3], 5:[2,6,8], 6:[5,7], 7:[6,8], 8:[5,7]}
|
||
|
computeBridges(l)
|