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Last active December 16, 2015 15:50
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Tarjan's strongly connected components algorithm for python3
# From http://stackoverflow.com/a/6575693/488265
# By http://stackoverflow.com/users/577088/senderle
from itertools import chain
from collections import defaultdict
class Graph(object):
def __init__(self, edges, vertices=()):
edges = list(list(x) for x in edges)
self.edges = edges
self.vertices = set(chain(*edges)).union(vertices)
self.tails = defaultdict(list)
for head, tail in self.edges:
self.tails[head].append(tail)
@classmethod
def from_dict(cls, edge_dict):
return cls((k, v) for k, vs in edge_dict.items() for v in vs)
class _StrongCC(object):
def strong_connect(self, head):
lowlink, count, stack = self.lowlink, self.count, self.stack
lowlink[head] = count[head] = self.counter = self.counter + 1
stack.append(head)
for tail in self.graph.tails[head]:
if tail not in count:
self.strong_connect(tail)
lowlink[head] = min(lowlink[head], lowlink[tail])
elif count[tail] < count[head]:
if tail in self.stack:
lowlink[head] = min(lowlink[head], count[tail])
if lowlink[head] == count[head]:
component = []
while stack and count[stack[-1]] >= count[head]:
component.append(stack.pop())
self.connected_components.append(component)
def __call__(self, graph):
self.graph = graph
self.counter = 0
self.count = dict()
self.lowlink = dict()
self.stack = []
self.connected_components = []
for v in self.graph.vertices:
if v not in self.count:
self.strong_connect(v)
return self.connected_components
strongly_connected_components = _StrongCC()
if __name__ == '__main__':
edges = [('A', 'B'), ('B', 'C'), ('C', 'D'), ('D', 'E'),
('E', 'A'), ('A', 'E'), ('C', 'A'), ('C', 'E'),
('D', 'F'), ('F', 'B'), ('E', 'F')]
print(strongly_connected_components(Graph(edges)))
edge_dict = {'a':['b', 'c', 'd'],
'b':['c', 'a'],
'c':['d', 'e'],
'd':['e'],
'e':['c']}
print(strongly_connected_components(Graph.from_dict(edge_dict)))
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