def setUp(self):
self.petersen_graph = petersen_graph()
self.random_graph10_5 = random_graph(10, 0.5)
self.random_graph100_3 = random_graph(100, 0.3)
self.petersen_cliques = [
[0, 1], [0, 4], [0, 5], [1, 2], [1, 6],
[2, 3], [2, 7], [3, 4], [3, 8], [4, 9],
[5, 7], [5, 8], [6, 8], [6, 9], [7, 9],
]
self.random_graph_edges = [
(0, 2), (0, 3), (0, 5), (0, 7),
(0, 9), (1, 2), (1, 3), (1, 5),
(1, 6), (1, 7), (1, 9), (2, 3),
(2, 5), (2, 6), (2, 7), (2, 8),
(3, 5), (3, 7), (4, 6), (4, 7),
(5, 6), (5, 7), (5, 9), (6, 7),
(6, 8), (6, 9), (7, 9),
]
self.random_graph = Graph()
self.random_graph.add_edges(self.random_graph_edges)
self.random_graph_clique = [0, 2, 3, 5, 7]
self.coprime_graph10 = coprime_pairs_graph(10)
self.coprime_graph10_weight = 30
self.coprime_graph10_clique = [1, 5, 7, 8, 9]
self.coprime_graph100 = coprime_pairs_graph(100)
self.coprime_graph100_weight = 1356
self.coprime_graph100_clique = [
1, 17, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61,
67, 71, 73, 79, 81, 83, 88, 89, 91, 95, 97,
]
def test_korman(self):
(num_colors, classes) = korman(self.petersen_graph)
self.assertEqual(num_colors, self.petersen_colors)
self.assertTrue(is_valid_color_classes(self.petersen_graph, classes))
(num_colors, classes) = korman(self.small_random)
self.assertEqual(num_colors, self.small_colors)
self.assertEqual(classes, self.small_classes)
(num_colors, classes) = korman(self.small_random2)
self.assertEqual(num_colors, self.small_colors2)
self.assertEqual(classes, self.small_classes2)
(num_colors, classes) = korman(self.big_random)
self.assertEqual(num_colors, self.big_colors)
self.assertEqual(classes, self.big_classes)
(num_colors, classes) = korman(self.coprime_graph30)
self.assertEqual(num_colors, self.coprime_graph30_colors)
self.assertTrue(is_valid_color_classes(self.coprime_graph30, classes))
(num_colors, color_map) = korman(self.coprime_graph30, classes=False)
self.assertEqual(color_map, {1: 7, 2: 1, 3: 2, 4: 1, 5: 3, 6: 1, 7: 4, 8: 1, 9: 2, 10: 1, 11: 5, 12: 1, 13: 6,
14: 1, 15: 2, 16: 1, 17: 8, 18: 1, 19: 9, 20: 1, 21: 2, 22: 1, 23: 10, 24: 1, 25:
3, 26: 1, 27: 2, 28: 1, 29: 11, 30: 1})
for i in xrange(10):
graph = random_graph(20, 0.5)
k_num, classes = korman(graph)
b_num, classes = branch_and_bound(graph)
self.assertEqual(b_num, k_num)
self.assertTrue(is_valid_color_classes(graph, classes))
def test_maxis(self):
print "Testing MAXIS coloring algorithm"
(num_colors, color_map) = maxis(self.petersen_graph, classes=False)
self.assertEqual(num_colors, self.petersen_colors)
self.assertEqual(color_map, {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 0, 8: 0, 9: 1})
graph = random_graph(50, 0.5)
(num_colors, classes) = maxis(graph, color_limit=30)
self.assertTrue(is_valid_color_classes(graph, classes))
graph = random_graph(60, 0.5)
(num_colors, classes) = maxis(graph, use_greedy=False, color_limit=30, mis_limit=30, verbose=True)
self.assertTrue(is_valid_color_classes(graph, classes))
graph = random_graph(50, 0.5)
(num_colors, classes) = maxis(graph, mis_limit=50, color_limit=30)
self.assertTrue(is_valid_color_classes(graph, classes))
graph = random_graph(50, 0.5)
(num_colors, classes) = maxis(graph, use_greedy=True, color_limit=30, mis_limit=40, verbose=True)
self.assertTrue(is_valid_color_classes(graph, classes))
graph = random_graph(50, 0.5)
(num_colors, classes) = maxis(graph, use_greedy=True, color_limit=0, mis_limit=40, verbose=True)
self.assertTrue(is_valid_color_classes(graph, classes))
graph = random_graph(50, 0.5)
(num_colors, classes) = maxis(graph, use_greedy=True, color_limit=30)
self.assertTrue(is_valid_color_classes(graph, classes))
for i in xrange(10):
graph = random_graph(10, 0.8)
_, classes = maxis(graph, verbose=True)
self.assertTrue(is_valid_color_classes(graph, classes))
def test_branch_and_bound(self):
print "Testing branch and bound coloring algorithm"
(num_colors, classes) = branch_and_bound(self.petersen_graph)
self.assertEqual(num_colors, self.petersen_colors)
self.assertTrue(is_valid_color_classes(self.petersen_graph, classes))
(num_colors, classes) = branch_and_bound(self.coprime_graph30)
self.assertEqual(num_colors, self.coprime_graph30_colors)
self.assertTrue(is_valid_color_classes(self.coprime_graph30, classes))
(num_colors, color_map) = branch_and_bound(self.coprime_graph30, classes=False)
self.assertEqual(color_map, {1: 5, 2: 11, 3: 10, 4: 11, 5: 9, 6: 10, 7: 8, 8: 11, 9: 10, 10: 9, 11: 7, 12: 10,
13: 6, 14: 8, 15: 9, 16: 11, 17: 4, 18: 10, 19: 3, 20: 9, 21: 8, 22: 7, 23: 2, 24:
10, 25: 9, 26: 6, 27: 10,
28: 8, 29: 1, 30: 9})
(num_colors, classes) = branch_and_bound(self.small_random)
self.assertEqual(num_colors, self.small_colors)
self.assertEqual(classes, self.small_classes)
(num_colors, classes) = branch_and_bound(self.small_random2)
self.assertEqual(num_colors, self.small_colors2)
self.assertEqual(classes, self.small_classes2)
(num_colors, classes) = branch_and_bound(self.big_random)
self.assertEqual(num_colors, self.big_colors)
self.assertEqual(classes, self.big_classes)
graph = random_graph(30, 0.5)
(num_colors, classes) = branch_and_bound(graph)
self.assertTrue(is_valid_color_classes(graph, classes))
for i in xrange(10):
graph = random_graph(10, 0.8)
_, classes = branch_and_bound(graph)
self.assertTrue(is_valid_color_classes(graph, classes))
def test_dsatur(self):
print "Testing DSATUR coloring algorithm"
(num_colors, classes) = dsatur(self.petersen_graph)
self.assertTrue(num_colors <= self.petersen_colors)
self.assertTrue(is_valid_color_classes(self.petersen_graph, classes))
(num_colors, color_map) = dsatur(self.petersen_graph, classes=False)
self.assertEqual(num_colors, self.petersen_colors)
self.assertEqual(color_map, {0: 0, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 2, 7: 0, 8: 0, 9: 1})
(num_colors, classes) = dsatur(self.coprime_graph30)
self.assertTrue(num_colors <= self.coprime_graph30_colors)
self.assertTrue(is_valid_color_classes(self.coprime_graph30, classes))
for i in xrange(10):
graph = random_graph(10, 0.8)
_, classes = dsatur(graph)
self.assertTrue(is_valid_color_classes(graph, classes))
def test_greedy_sequential(self):
print "Testing greedy sequential coloring algorithm"
(num_colors, classes) = greedy_sequential(self.petersen_graph)
self.assertTrue(num_colors == self.petersen_colors)
self.assertTrue(is_valid_color_classes(self.petersen_graph, classes))
(num_colors, classes) = greedy_sequential(self.petersen_graph, classes=False)
self.assertTrue(num_colors == self.petersen_colors)
self.assertTrue(classes, {0: 0, 1: 2, 2: 0, 3: 2, 4: 1, 5: 2, 6: 1, 7: 1, 8: 0, 9: 0})
(num_colors, classes) = greedy_sequential(self.coprime_graph30, passes=2)
self.assertTrue(num_colors <= self.coprime_graph30_colors)
self.assertTrue(is_valid_color_classes(self.coprime_graph30, classes))
for i in xrange(10):
graph = random_graph(10, 0.8)
_, classes = greedy_sequential(graph)
self.assertTrue(is_valid_color_classes(graph, classes))
def test_vertices(self):
graph = random_graph(10, 0.5)
self.assertTrue(graph.vertices() == range(10))
self.assertTrue(graph.vertex_set() == set(range(10)))
self.assertTrue(graph.num_vertices() == 10)
self.assertTrue(len(graph.graph_dict.keys()) == 10)
new_graph = graph.remove_vertex(0)
self.assertTrue(new_graph.num_vertices() == 9)
self.assertTrue(len(new_graph.graph_dict.keys()) == 9)
self.assertTrue(graph.num_vertices() == 10)
self.assertTrue(len(graph.graph_dict.keys()) == 10)
new_graph = graph.remove_vertices([0, 1, 2])
self.assertTrue(new_graph.num_vertices() == 7)
self.assertTrue(len(new_graph.graph_dict.keys()) == 7)
graph.delete_vertex(0)
self.assertTrue(graph.num_vertices() == 9)
self.assertTrue(len(graph.graph_dict.keys()) == 9)
def setUp(self):
self.petersen_graph = petersen_graph()
self.random_graph10_5 = random_graph(10, 0.5)
self.random_graph100_3 = random_graph(100, 0.3)
self.petersen_cliques = [
[0, 1],
[0, 4],
[0, 5],
[1, 2],
[1, 6],
[2, 3],
[2, 7],
[3, 4],
[3, 8],
[4, 9],
[5, 7],
[5, 8],
[6, 8],
[6, 9],
[7, 9],
]
self.random_graph_edges = [
(0, 2),
(0, 3),
(0, 5),
(0, 7),
(0, 9),
(1, 2),
(1, 3),
(1, 5),
(1, 6),
(1, 7),
(1, 9),
(2, 3),
(2, 5),
(2, 6),
(2, 7),
(2, 8),
(3, 5),
(3, 7),
(4, 6),
(4, 7),
(5, 6),
(5, 7),
(5, 9),
(6, 7),
(6, 8),
(6, 9),
(7, 9),
]
self.random_graph = Graph()
self.random_graph.add_edges(self.random_graph_edges)
self.random_graph_clique = [0, 2, 3, 5, 7]
self.random_graph_clique2 = [1, 5, 6, 7, 9]
self.coprime_graph10 = coprime_pairs_graph(10)
self.coprime_graph10_weight = 30
self.coprime_graph10_clique = [1, 5, 7, 8, 9]
self.coprime_graph100 = coprime_pairs_graph(100)
self.coprime_graph100_weight = 1356
self.coprime_graph100_clique = [
1,
17,
23,
29,
31,
37,
41,
43,
47,
53,
59,
61,
67,
71,
73,
79,
81,
83,
88,
89,
91,
95,
97,
]