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import unittest
from igraph import Graph
from .utils import temporary_file
class CliqueTests(unittest.TestCase):
def setUp(self):
self.g = Graph.Full(6)
self.g.delete_edges([(0, 1), (0, 2), (3, 5)])
def testCliques(self):
tests = {
(4, -1): [[1, 2, 3, 4], [1, 2, 4, 5]],
(2, 2): [
[0, 3],
[0, 4],
[0, 5],
[1, 2],
[1, 3],
[1, 4],
[1, 5],
[2, 3],
[2, 4],
[2, 5],
[3, 4],
[4, 5],
],
(-1, -1): [
[0],
[1],
[2],
[3],
[4],
[5],
[0, 3],
[0, 4],
[0, 5],
[1, 2],
[1, 3],
[1, 4],
[1, 5],
[2, 3],
[2, 4],
[2, 5],
[3, 4],
[4, 5],
[0, 3, 4],
[0, 4, 5],
[1, 2, 3],
[1, 2, 4],
[1, 2, 5],
[1, 3, 4],
[1, 4, 5],
[2, 3, 4],
[2, 4, 5],
[1, 2, 3, 4],
[1, 2, 4, 5],
],
}
for (lo, hi), exp in tests.items():
self.assertEqual(sorted(exp), sorted(map(sorted, self.g.cliques(lo, hi))))
def testLargestCliques(self):
self.assertEqual(
sorted(map(sorted, self.g.largest_cliques())), [[1, 2, 3, 4], [1, 2, 4, 5]]
)
self.assertTrue(all(map(self.g.is_clique, self.g.largest_cliques())))
def testMaximalCliques(self):
self.assertEqual(
sorted(map(sorted, self.g.maximal_cliques())),
[[0, 3, 4], [0, 4, 5], [1, 2, 3, 4], [1, 2, 4, 5]],
)
self.assertTrue(all(map(self.g.is_clique, self.g.maximal_cliques())))
self.assertEqual(
sorted(map(sorted, self.g.maximal_cliques(min=4))),
[[1, 2, 3, 4], [1, 2, 4, 5]],
)
self.assertEqual(
sorted(map(sorted, self.g.maximal_cliques(max=3))), [[0, 3, 4], [0, 4, 5]]
)
def testMaximalCliquesFile(self):
def read_cliques(fname):
with open(fname) as fp:
return sorted(sorted(int(item) for item in line.split()) for line in fp)
with temporary_file() as fname:
self.g.maximal_cliques(file=fname)
self.assertEqual(
[[0, 3, 4], [0, 4, 5], [1, 2, 3, 4], [1, 2, 4, 5]], read_cliques(fname)
)
with temporary_file() as fname:
self.g.maximal_cliques(min=4, file=fname)
self.assertEqual([[1, 2, 3, 4], [1, 2, 4, 5]], read_cliques(fname))
with temporary_file() as fname:
self.g.maximal_cliques(max=3, file=fname)
self.assertEqual([[0, 3, 4], [0, 4, 5]], read_cliques(fname))
def testCliqueNumber(self):
self.assertEqual(self.g.clique_number(), 4)
self.assertEqual(self.g.omega(), 4)
class IndependentVertexSetTests(unittest.TestCase):
def setUp(self):
self.g1 = Graph.Tree(5, 2, "undirected")
self.g2 = Graph.Tree(10, 2, "undirected")
def testIndependentVertexSets(self):
tests = {
(4, -1): [],
(2, 2): [(0, 3), (0, 4), (1, 2), (2, 3), (2, 4), (3, 4)],
(-1, -1): [
(0,),
(1,),
(2,),
(3,),
(4,),
(0, 3),
(0, 4),
(1, 2),
(2, 3),
(2, 4),
(3, 4),
(0, 3, 4),
(2, 3, 4),
],
}
for (lo, hi), exp in tests.items():
self.assertEqual(exp, self.g1.independent_vertex_sets(lo, hi))
def testLargestIndependentVertexSets(self):
self.assertEqual(
self.g1.largest_independent_vertex_sets(), [(0, 3, 4), (2, 3, 4)]
)
self.assertTrue(all(map(self.g1.is_independent_vertex_set, self.g1.largest_independent_vertex_sets())))
def testMaximalIndependentVertexSets(self):
self.assertEqual(
self.g2.maximal_independent_vertex_sets(),
[
(0, 3, 4, 5, 6),
(0, 3, 5, 6, 9),
(0, 4, 5, 6, 7, 8),
(0, 5, 6, 7, 8, 9),
(1, 2, 7, 8, 9),
(1, 5, 6, 7, 8, 9),
(2, 3, 4),
(2, 3, 9),
(2, 4, 7, 8),
],
)
self.assertTrue(all(map(self.g2.is_independent_vertex_set, self.g2.maximal_independent_vertex_sets())))
def testIndependenceNumber(self):
self.assertEqual(self.g2.independence_number(), 6)
self.assertEqual(self.g2.alpha(), 6)
class CliqueBenchmark:
"""This is a benchmark, not a real test case. You can run it
using:
>>> from igraph.test.cliques import CliqueBenchmark
>>> CliqueBenchmark().run()
"""
def __init__(self):
from time import time
import gc
self.time = time
self.gc_collect = gc.collect
def run(self):
self.printIntro()
self.testRandom()
self.testMoonMoser()
self.testGRG()
def printIntro(self):
print("n = number of vertices")
print("#cliques = number of maximal cliques found")
print("t1 = time required to determine the clique number")
print("t2 = time required to determine and save all maximal cliques")
print()
def timeit(self, g):
start = self.time()
g.clique_number()
mid = self.time()
cl = g.maximal_cliques()
end = self.time()
self.gc_collect()
return len(cl), mid - start, end - mid
def testRandom(self):
np = {
100: [0.6, 0.7],
300: [0.1, 0.2, 0.3, 0.4],
500: [0.1, 0.2, 0.3],
700: [0.1, 0.2],
1000: [0.1, 0.2],
10000: [0.001, 0.003, 0.005, 0.01, 0.02],
}
print()
print("Erdos-Renyi random graphs")
print(" n p #cliques t1 t2")
for n in sorted(np.keys()):
for p in np[n]:
g = Graph.Erdos_Renyi(n, p)
result = self.timeit(g)
print("%8d %8.3f %8d %8.4fs %8.4fs" % tuple([n, p] + list(result)))
def testMoonMoser(self):
ns = [15, 27, 33]
print()
print("Moon-Moser graphs")
print(" n exp_clqs #cliques t1 t2")
for n in ns:
n3 = n // 3
types = list(range(n3)) * 3
el = [
(i, j)
for i in range(n)
for j in range(i + 1, n)
if types[i] != types[j]
]
g = Graph(n, el)
result = self.timeit(g)
print(
"%8d %8d %8d %8.4fs %8.4fs" % tuple([n, (3 ** (n / 3))] + list(result))
)
def testGRG(self):
ns = [100, 1000, 5000, 10000, 25000, 50000]
print()
print("Geometric random graphs")
print(" n d #cliques t1 t2")
for n in ns:
d = 2.0 / (n**0.5)
g = Graph.GRG(n, d)
result = self.timeit(g)
print("%8d %8.3f %8d %8.4fs %8.4fs" % tuple([n, d] + list(result)))
def suite():
clique_suite = unittest.defaultTestLoader.loadTestsFromTestCase(CliqueTests)
indvset_suite = unittest.defaultTestLoader.loadTestsFromTestCase(
IndependentVertexSetTests
)
return unittest.TestSuite([clique_suite, indvset_suite])
def test():
runner = unittest.TextTestRunner()
runner.run(suite())
if __name__ == "__main__":
test()
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