mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-30 16:31:08 +00:00
1f8a21d727
* Tighten up psf/black and flake8 * Fix some tests * Fix some E741 * Fix some E741 * updating DIRECTORY.md Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
43 lines
976 B
Python
43 lines
976 B
Python
# Finding Bridges in Undirected Graph
|
|
def computeBridges(graph):
|
|
id = 0
|
|
n = len(graph) # 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 graph[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)
|
|
|
|
|
|
graph = {
|
|
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(graph)
|