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34 lines
987 B
Python
34 lines
987 B
Python
# Check whether Graph is Bipartite or Not using DFS
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# A Bipartite Graph is a graph whose vertices can be divided into two independent sets,
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# U and V such that every edge (u, v) either connects a vertex from U to V or a vertex
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# from V to U. In other words, for every edge (u, v), either u belongs to U and v to V,
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# or u belongs to V and v to U. We can also say that there is no edge that connects
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# vertices of same set.
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def check_bipartite_dfs(l):
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visited = [False] * len(l)
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color = [-1] * len(l)
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def dfs(v, c):
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visited[v] = True
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color[v] = c
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for u in l[v]:
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if not visited[u]:
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dfs(u, 1 - c)
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for i in range(len(l)):
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if not visited[i]:
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dfs(i, 0)
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for i in range(len(l)):
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for j in l[i]:
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if color[i] == color[j]:
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return False
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return True
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# Adjacency list of graph
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l = {0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2], 4: []}
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print(check_bipartite_dfs(l))
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