def test_bfs_check_order(self):
g = Graph([[0, 1], [0, 2], [1, 3], [1, 4], [2, 5], [2, 6]])
breadth_first_search(g, 0)
self.assertTrue(
g.get_node(0).visited < min(self.__get_visited_values(g, [1, 2])))
self.assertTrue(
g.get_node(1).visited < min(
self.__get_visited_values(g, [3, 4, 5, 6])))
self.assertTrue(
g.get_node(2).visited < min(
self.__get_visited_values(g, [3, 4, 5, 6])))
def test_dfs_disconnected(self):
g = Graph([[0, 1], [2, 3]])
depth_first_search(g, 0)
for i in range(2):
self.assertTrue(g.get_node(i).visited)
for i in range(2, 4):
self.assertFalse(g.get_node(i).visited)
depth_first_search(g, 2)
for i in range(2, 4):
self.assertTrue(g.get_node(i).visited)
def test_dfs_disconnected(self):
g = Graph([[0,1],[2,3]])
depth_first_search(g, 0)
for i in range(2):
self.assertTrue(g.get_node(i).visited)
for i in range(2,4):
self.assertFalse(g.get_node(i).visited)
depth_first_search(g, 2)
for i in range(2,4):
self.assertTrue(g.get_node(i).visited)
def test_connected_components_disconnected(self):
graph = Graph([[0, 1], [1, 2], [2, 0], [3, 4], [3, 5], [3, 6], [7, 8]])
result = connected_components(graph)
self.assertEqual(len(result), 3)
self.assertTrue(result[0].id in [0, 1, 2])
self.assertTrue(result[1].id in [3, 4, 5, 6])
self.assertTrue(result[2].id in [7, 8])
def test_1(self):
graph = Graph([[0, 1], [0, 2], [1, 3], [2, 3]], True)
find_topological_order(graph)
self.check_labels(graph, 0, 1)
self.check_labels(graph, 0, 2)
self.check_labels(graph, 1, 3)
self.check_labels(graph, 2, 3)
def test_bfs_simple_connected(self):
g = Graph([[0, 1], [1, 2], [2, 0]])
breadth_first_search(g, 0)
for i in range(3):
self.assertTrue(g.get_node(i).visited)
def test_dfs_self_edges(self):
g = Graph([[0, 0], [0, 1], [1, 1], [2, 2], [2, 0]])
depth_first_search(g, 0)
for i in range(3):
self.assertTrue(g.get_node(i).visited)
def test_bfs_parallel_edges(self):
g = Graph([[0, 1], [1, 2], [1, 2], [2, 1], [0, 1], [0, 2]])
breadth_first_search(g, 0)
for i in range(3):
self.assertTrue(g.get_node(i).visited)
def test_bfs_check_order(self):
g = Graph([[0,1], [0,2], [1,3], [1,4], [2,5], [2,6]])
breadth_first_search(g, 0)
self.assertTrue(g.get_node(0).visited < min(self.__get_visited_values(g, [1,2])))
self.assertTrue(g.get_node(1).visited < min(self.__get_visited_values(g, [3,4,5,6])))
self.assertTrue(g.get_node(2).visited < min(self.__get_visited_values(g, [3,4,5,6])))
def __init__(self, *args, **kwargs):
super(TestGraphSearch, self).__init__(*args, **kwargs)
# -----------------------------
# ----- Graph 1: Directed -----
# -----------------------------
"""
graph1 = {
'0': ['1', '2'],
'1': ['2'],
'2': ['0', '3'],
'3': ['3'],
}
"""
self.graph1 = Graph(directed=True)
self.graph1.add_edge(0, 1)
self.graph1.add_edge(0, 2)
self.graph1.add_edge(1, 2)
self.graph1.add_edge(2, 0)
self.graph1.add_edge(2, 3)
self.graph1.add_edge(3, 3)
# -------------------------------
# ----- Graph 2: Undirected -----
# -------------------------------
"""
graph2 = {
'1': ['2', '5', '6'],
'2': ['1', '3', '5'],
'3': ['2', '4'],
'4': ['3', '5'],
'5': ['1', '2', '4'],
'6': ['1'],
}
"""
self.graph2 = Graph(directed=False)
self.graph2.add_edge(1, 2)
self.graph2.add_edge(1, 5)
self.graph2.add_edge(1, 6)
self.graph2.add_edge(2, 3)
self.graph2.add_edge(2, 5)
self.graph2.add_edge(3, 4)
self.graph2.add_edge(4, 5)
# -----------------------------------------
# ----- Graph 3: Undirected Bipartite -----
# -----------------------------------------
"""
graph3 = {
'1': ['2', '5', '6'],
'2': ['1', '3', '4'],
'3': ['2', '4'],
'4': ['3', '5'],
'5': ['1', '3', '4'],
'6': ['1'],
}
"""
self.graph3 = Graph(directed=False)
self.graph3.add_edge(1, 2)
self.graph3.add_edge(1, 5)
self.graph3.add_edge(1, 6)
self.graph3.add_edge(2, 3)
self.graph3.add_edge(2, 4)
self.graph3.add_edge(3, 5)
self.graph3.add_edge(4, 5)
p_queue[vert] = new_distance
dist_to_start[vert] = new_distance
prev_vert[vert] = current
return prev_vert
# Convert the string to integers
rows = string1.split('\n')[1:]
for i in range(len(rows)):
rows[i] = rows[i].split(' ')
for j in range(len(rows[i])):
rows[i][j] = int(rows[i][j])
# Create a graph that represents the integers
graph = Graph()
for i in range(len(rows)-1, -1, -1): # for each row in the pyramid
for j in range(len(rows[i])): # for each item in the row
graph.add_vert(str(i) + str(j))
# Initalize edges as the inverse of the node value (i.e. 70 --> 1/70)
for i in range(len(rows)-1, 0, -1):
for j in range(len(rows[i])):
if j == 0:
graph.add_edge(str(i)+str(j), str(i-1)+str(j), 1/float((rows[i-1][j])))
elif j == len(rows[i])-1:
graph.add_edge(str(i)+str(j), str(i-1)+str(j-1), 1/float(rows[i-1][j-1]))
else:
graph.add_edge(str(i)+str(j), str(i-1)+str(j), 1/float(rows[i-1][j]))
graph.add_edge(str(i)+str(j), str(i-1)+str(j-1), 1/float(rows[i-1][j-1]))
def __init__(self, l, is_directed=False):
Graph.__init__(self, l, is_directed)
self.t = 0
self.s = None
def test_dfs_check_order(self):
g = Graph([[0,1], [0,2], [1,3], [1,4], [2,5], [2,6]])
depth_first_search(g, 0)
if g.get_node(1).visited < g.get_node(2).visited:
self.assertTrue(g.get_node(3).visited < g.get_node(2).visited)
self.assertTrue(g.get_node(4).visited < g.get_node(2).visited)
else:
self.assertTrue(g.get_node(5).visited < g.get_node(1).visited)
self.assertTrue(g.get_node(6).visited < g.get_node(1).visited)
self.assertTrue(g.get_node(0).visited < g.get_node(1).visited)
self.assertTrue(g.get_node(0).visited < g.get_node(2).visited)
self.assertTrue(g.get_node(1).visited < g.get_node(3).visited)
self.assertTrue(g.get_node(1).visited < g.get_node(4).visited)
self.assertTrue(g.get_node(2).visited < g.get_node(5).visited)
self.assertTrue(g.get_node(2).visited < g.get_node(6).visited)
def test_bfs_simple_connected(self):
g = Graph([[0,1],[1,2],[2,0]])
breadth_first_search(g, 0)
for i in range(3):
self.assertTrue(g.get_node(i).visited)
def test_dfs_self_edges(self):
g = Graph([[0,0],[0,1],[1,1],[2,2],[2,0]])
depth_first_search(g, 0)
for i in range(3):
self.assertTrue(g.get_node(i).visited)
def test_dfs_check_order(self):
g = Graph([[0, 1], [0, 2], [1, 3], [1, 4], [2, 5], [2, 6]])
depth_first_search(g, 0)
if g.get_node(1).visited < g.get_node(2).visited:
self.assertTrue(g.get_node(3).visited < g.get_node(2).visited)
self.assertTrue(g.get_node(4).visited < g.get_node(2).visited)
else:
self.assertTrue(g.get_node(5).visited < g.get_node(1).visited)
self.assertTrue(g.get_node(6).visited < g.get_node(1).visited)
self.assertTrue(g.get_node(0).visited < g.get_node(1).visited)
self.assertTrue(g.get_node(0).visited < g.get_node(2).visited)
self.assertTrue(g.get_node(1).visited < g.get_node(3).visited)
self.assertTrue(g.get_node(1).visited < g.get_node(4).visited)
self.assertTrue(g.get_node(2).visited < g.get_node(5).visited)
self.assertTrue(g.get_node(2).visited < g.get_node(6).visited)
class TestGraphSearch(unittest.TestCase):
def __init__(self, *args, **kwargs):
super(TestGraphSearch, self).__init__(*args, **kwargs)
# -----------------------------
# ----- Graph 1: Directed -----
# -----------------------------
"""
graph1 = {
'0': ['1', '2'],
'1': ['2'],
'2': ['0', '3'],
'3': ['3'],
}
"""
self.graph1 = Graph(directed=True)
self.graph1.add_edge(0, 1)
self.graph1.add_edge(0, 2)
self.graph1.add_edge(1, 2)
self.graph1.add_edge(2, 0)
self.graph1.add_edge(2, 3)
self.graph1.add_edge(3, 3)
# -------------------------------
# ----- Graph 2: Undirected -----
# -------------------------------
"""
graph2 = {
'1': ['2', '5', '6'],
'2': ['1', '3', '5'],
'3': ['2', '4'],
'4': ['3', '5'],
'5': ['1', '2', '4'],
'6': ['1'],
}
"""
self.graph2 = Graph(directed=False)
self.graph2.add_edge(1, 2)
self.graph2.add_edge(1, 5)
self.graph2.add_edge(1, 6)
self.graph2.add_edge(2, 3)
self.graph2.add_edge(2, 5)
self.graph2.add_edge(3, 4)
self.graph2.add_edge(4, 5)
# -----------------------------------------
# ----- Graph 3: Undirected Bipartite -----
# -----------------------------------------
"""
graph3 = {
'1': ['2', '5', '6'],
'2': ['1', '3', '4'],
'3': ['2', '4'],
'4': ['3', '5'],
'5': ['1', '3', '4'],
'6': ['1'],
}
"""
self.graph3 = Graph(directed=False)
self.graph3.add_edge(1, 2)
self.graph3.add_edge(1, 5)
self.graph3.add_edge(1, 6)
self.graph3.add_edge(2, 3)
self.graph3.add_edge(2, 4)
self.graph3.add_edge(3, 5)
self.graph3.add_edge(4, 5)
def test_bipartite(self):
false_result = self.graph2.is_bipartite()
true__result = self.graph3.is_bipartite()
self.assertFalse(false_result)
self.assertTrue(true__result)
def test_dfs(self):
start = 6
end = 4
obtained = self.graph2.dfs(start)
actual1 = [6, 1, 5, 4, 3, 2]
actual2 = [6, 1, 2, 3, 4, 5]
self.assertTrue(obtained == actual1 or obtained == actual2)
def test_bfs(self):
start = 1
end = 3
order, _ = self.graph1.bfs(start)
actual = [1, 2, 0, 3]
self.assertEqual(actual, order)
start = 6
end = 4
order, _ = self.graph2.bfs(start)
actual = [6, 1, 2, 5, 3, 4]
self.assertEqual(actual, order)
def test_shortest_path(self):
start = 1
end = 3
_, parents = self.graph1.bfs(start)
shortest_path = self.graph1.find_path(start, end, parents, path=[])
actual = [1, 2, 3]
self.assertEqual(actual, shortest_path)
start = 6
end = 4
shortest_path = self.graph2.find_path(start, end, parents=None, path=[])
actual = [6, 1, 5, 4]
self.assertEqual(actual, shortest_path)
def test_connected_components_fully_connected(self):
graph = Graph([[0, 1], [1, 2], [2, 0]])
result = connected_components(graph)
self.assertEqual(len(result), 1)
self.assertTrue(result[0].id in [0, 1, 2])
def __init__(self, l, is_directed=False):
Graph.__init__(self, l, is_directed)
self.t = 0
self.s = None
def test_bfs_parallel_edges(self):
g = Graph([[0,1],[1,2],[1,2],[2,1],[0,1],[0,2]])
breadth_first_search(g, 0)
for i in range(3):
self.assertTrue(g.get_node(i).visited)