Python/graphs/finding_bridges.py
Christian Clauss 1f8a21d727
Tighten up psf/black and flake8 (#2024)
* 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>
2020-05-22 08:10:11 +02:00

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)