iframe-proxy | Sunbelt Computer Software

33 lines (26 loc) · 987 Bytes

# Check whether Graph is Bipartite or Not using DFS

# 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.

def check_bipartite_dfs(l):

visited = [False] * len(l)

color = [-1] * len(l)

def dfs(v, c):

visited[v] = True

color[v] = c

for u in l[v]:

if not visited[u]:

dfs(u, 1 - c)

for i in range(len(l)):

if not visited[i]:

dfs(i, 0)

for i in range(len(l)):

for j in l[i]:

if color[i] == color[j]:

return False

return True

# Adjacency list of graph

l = {0:[1,3], 1:[0,2], 2:[1,3], 3:[0,2], 4: []}

print(check_bipartite_dfs(l))

Sunbelt Computer Software