Python/graphs/check_bipartite_graph_bfs.py
Christian Clauss c909da9b08
pre-commit: Upgrade psf/black for stable style 2023 (#8110)
* pre-commit: Upgrade psf/black for stable style 2023

Updating https://github.com/psf/black ... updating 22.12.0 -> 23.1.0 for their `2023 stable style`.
* https://github.com/psf/black/blob/main/CHANGES.md#2310

> This is the first [psf/black] release of 2023, and following our stability policy, it comes with a number of improvements to our stable style…

Also, add https://github.com/tox-dev/pyproject-fmt and https://github.com/abravalheri/validate-pyproject to pre-commit.

I only modified `.pre-commit-config.yaml` and all other files were modified by pre-commit.ci and psf/black.

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

---------

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
2023-02-01 18:44:54 +05:30

48 lines
1.3 KiB
Python

# Check whether Graph is Bipartite or Not using BFS
# A Bipartite Graph is a graph whose vertices can be divided into two independent sets,
# U and V such that every edge (u, v) either connects a vertex from U to V or a vertex
# from V to U. In other words, for every edge (u, v), either u belongs to U and v to V,
# or u belongs to V and v to U. We can also say that there is no edge that connects
# vertices of same set.
from queue import Queue
def check_bipartite(graph):
queue = Queue()
visited = [False] * len(graph)
color = [-1] * len(graph)
def bfs():
while not queue.empty():
u = queue.get()
visited[u] = True
for neighbour in graph[u]:
if neighbour == u:
return False
if color[neighbour] == -1:
color[neighbour] = 1 - color[u]
queue.put(neighbour)
elif color[neighbour] == color[u]:
return False
return True
for i in range(len(graph)):
if not visited[i]:
queue.put(i)
color[i] = 0
if bfs() is False:
return False
return True
if __name__ == "__main__":
# Adjacency List of graph
print(check_bipartite({0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2]}))