def run(self):
"""Executable pseudocode."""
algorithm = SimpleDFS(self.graph)
for source in self.graph.iternodes():
if self.cc[source] is None:
algorithm.run(source, pre_action=lambda node:
self.cc.__setitem__(node, self.n_cc))
self.n_cc += 1
def is_connected(graph):
"""Test if the undirected graph is connected."""
if graph.is_directed():
raise ValueError("the graph is directed")
order = []
source = next(graph.iternodes())
algorithm = SimpleDFS(graph)
algorithm.run(source, lambda node: order.append(node))
return len(order) == graph.v()
def _find_ncc(self):
"""Return the number of connected components."""
visited = dict((node, False) for node in self.graph.iternodes())
ncc = 0
algorithm = SimpleDFS(self.graph)
for source in self.graph.iternodes():
if not visited[source]:
algorithm.run(source, pre_action=lambda node:
visited.__setitem__(node, True))
ncc += 1
return ncc
def _find_ncc(self):
"""Return the number of connected components."""
visited = dict((node, False) for node in self.graph.iternodes())
ncc = 0
algorithm = SimpleDFS(self.graph)
for source in self.graph.iternodes():
if not visited[source]:
algorithm.run(
source,
pre_action=lambda node: visited.__setitem__(node, True))
ncc = ncc + 1
return ncc
def _is_bridge(self, edge):
"""Bridge test."""
list1 = list()
list2 = list()
algorithm = SimpleDFS(self._graph_copy)
algorithm.run(edge.source, pre_action=lambda node: list1.append(node))
self._graph_copy.del_edge(edge)
algorithm = SimpleDFS(self._graph_copy)
algorithm.run(edge.source, pre_action=lambda node: list2.append(node))
# Restore the edge.
self._graph_copy.add_edge(edge)
return len(list1) != len(list2)
def run(self):
"""Executable pseudocode."""
algorithm = SimpleDFS(self.graph)
order = []
# use post_action!
algorithm.run(post_action=lambda node: order.append(node))
order.reverse()
algorithm = SimpleDFS(self.graph.transpose())
for source in order:
if self.scc[source] is None:
algorithm.run(source, pre_action=lambda
node: self.scc.__setitem__(node, self.n_scc))
self.n_scc += 1
def test_simple_dfs_with_recursion(self):
self.assertEqual(self.G.v(), self.N)
pre_order = []
post_order = []
algorithm = SimpleDFS(self.G)
algorithm.run(1, pre_action=lambda node: pre_order.append(node),
post_action=lambda node: post_order.append(node))
pre_order_expected = [1, 0, 4, 5, 2, 3, 6, 7]
post_order_expected = [4, 0, 7, 6, 3, 2, 5, 1]
self.assertEqual(pre_order, pre_order_expected)
self.assertEqual(post_order, post_order_expected)
parent_expected = {0: 1, 1: None, 2: 5, 3: 2, 4: 0, 5: 1, 6: 3, 7: 6}
self.assertEqual(algorithm.parent, parent_expected)
self.assertEqual(algorithm.path(1, 7), [1, 5, 2, 3, 6, 7])
self.assertEqual(algorithm.path(1, 4), [1, 0, 4])
#algorithm.dag.show()
self.assertEqual(algorithm.dag.v(), self.N)
self.assertEqual(algorithm.dag.e(), self.N-1)
self.assertTrue(algorithm.dag.is_directed())
for edge in algorithm.dag.iteredges():
self.assertTrue(self.G.has_edge(edge))
self.assertEqual(edge.weight, self.G.weight(edge))
def test_simple_dfs_with_recursion(self):
self.assertEqual(self.G.v(), self.N)
pre_order = []
post_order = []
algorithm = SimpleDFS(self.G)
algorithm.run(1,
pre_action=lambda node: pre_order.append(node),
post_action=lambda node: post_order.append(node))
pre_order_expected = [1, 0, 4, 5, 2, 3, 6, 7]
post_order_expected = [4, 0, 7, 6, 3, 2, 5, 1]
self.assertEqual(pre_order, pre_order_expected)
self.assertEqual(post_order, post_order_expected)
parent_expected = {0: 1, 1: None, 2: 5, 3: 2, 4: 0, 5: 1, 6: 3, 7: 6}
self.assertEqual(algorithm.parent, parent_expected)
self.assertEqual(algorithm.path(1, 7), [1, 5, 2, 3, 6, 7])
self.assertEqual(algorithm.path(1, 4), [1, 0, 4])
#algorithm.dag.show()
self.assertEqual(algorithm.dag.v(), self.N)
self.assertEqual(algorithm.dag.e(), self.N - 1)
self.assertTrue(algorithm.dag.is_directed())
for edge in algorithm.dag.iteredges():
self.assertTrue(self.G.has_edge(edge))
self.assertEqual(edge.weight, self.G.weight(edge))
def _is_bridge(self, edge):
"""Bridge test."""
list1 = list()
list2 = list()
algorithm = SimpleDFS(self._graph_copy)
algorithm.run(edge.source, pre_action=lambda node: list1.append(node))
self._graph_copy.del_edge(edge)
algorithm = SimpleDFS(self._graph_copy)
algorithm.run(edge.source, pre_action=lambda node: list2.append(node))
# Restore the edge.
self._graph_copy.add_edge(edge)
return len(list1) != len(list2)
def run(self, source=None):
"""Executable pseudocode."""
if source is None:
source = self.graph.iternodes().next()
self.source = source
algorithm = PrimMatrixMSTWithEdges(self.graph) # O(V**2) time
algorithm.run(self.source)
self.mst = algorithm.to_tree()
# Obchodzenie MST w kolejnosci preorder z uzyciem DFS.
# Hamiltonian cycle as a list of nodes.
order = list()
algorithm = SimpleDFS(self.mst) # O(V) time
algorithm.run(self.source, pre_action=lambda node: order.append(node))
order.append(self.source) # close cycle, length V+1
# Finding edges for the Hamiltonian cycle, O(V**2) time.
for i in xrange(self.graph.v()):
source = order[i]
target = order[i + 1]
for edge in self.graph.iteroutedges(source):
if edge.target == target:
self.hamiltonian_cycle.add_edge(edge)
break
def run(self):
"""Executable pseudocode."""
algorithm = SimpleDFS(self.graph)
algorithm.run(post_action=lambda node: self.sorted_nodes.append(node))
self.sorted_nodes.reverse()
def run(self):
"""Executable pseudocode."""
for source in self.graph.iternodes():
algorithm = SimpleDFS(self.graph)
algorithm.run(source, pre_action=lambda node:
self.T[source].__setitem__(node, True))
def run(self):
"""Executable pseudocode."""
algorithm = SimpleDFS(self.graph)
algorithm.run(post_action=lambda node: self.sorted_nodes.append(node))
self.sorted_nodes.reverse()