def test_impossible_clique(self):
k = 55
m = 2
# Find embedding
pg = pegasus_graph(m)
with self.assertRaises(ValueError):
find_clique_embedding(k, target_graph=pg)
def get_embedding():
embedding = []
if path.exists(f'_data/embedding/{embedding_kind}_{U}_{Grids}_{Slack}.json'
) == False:
print(f"Finding {embedding_kind} Embedding")
if embedding_kind == "regular":
embedding = find_embedding(
nx.complete_graph(scope).edges(), sampler.edgelist)
elif embedding_kind == "clique":
embedding = find_clique_embedding(
scope, target_graph=sampler.to_networkx_graph())
#print(embedding)
with open(f'_data/embedding/{embedding_kind}_{U}_{Grids}_{Slack}.json',
"w") as ff:
json.dump(embedding, ff)
else:
print(f"Importing saved {embedding_kind} Embedding")
f = open(f'_data/embedding/{embedding_kind}_{U}_{Grids}_{Slack}.json')
embedding = json.load(f)
#dnx.draw_pegasus_embedding(sampler.to_networkx_graph(), embedding, unused_color=None)
#plt.savefig(f'images/embedding_{embedding_type}N{N}q{q:.2f}B{B}P{P:.3f}.png')
return embedding
def test_valid_clique_coord(self):
k = nx.complete_graph(55)
m = 6
# Find embedding
pg = pegasus_graph(m, coordinates=True)
embedding = find_clique_embedding(k, target_graph=pg)
self.assertTrue(is_valid_embedding(embedding, k, pg))
def test_valid_clique_ints(self):
k = nx.complete_graph(15)
m = 4
# Find embedding
pg = pegasus_graph(m)
embedding = find_clique_embedding(k, target_graph=pg)
self.assertTrue(is_valid_embedding(embedding, k, pg))
def test_k_parameter_int(self):
k_int = 5
m = 3
# Find embedding
pg = pegasus_graph(m, coordinates=True)
embedding = find_clique_embedding(k_int, target_graph=pg)
self.assertTrue(is_valid_embedding(embedding, nx.complete_graph(k_int), pg))
def test_one_clique(self):
k = 1
m = 4
# Find embedding
pg = pegasus_graph(m, coordinates=True)
embedding = find_clique_embedding(k, target_graph=pg)
self.assertTrue(is_valid_embedding(embedding, nx.complete_graph(k), pg))
def test_k_parameter_list(self):
k_nodes = ['one', 'two', 'three']
m = 4
# Find embedding
pg = pegasus_graph(m, coordinates=True)
embedding = find_clique_embedding(k_nodes, target_graph=pg)
self.assertTrue(is_valid_embedding(embedding, nx.complete_graph(k_nodes), pg))
def test_zero_clique(self):
k = 0
m = 3
# Find embedding
pg = pegasus_graph(m)
embedding = find_clique_embedding(k, target_graph=pg)
self.assertEqual(k, len(embedding))
self.assertEqual({}, embedding)
def test_clique_incomplete_graph(self):
k = 5
m = 2
# Nodes in a known K5 embedding
# Note: {0: [14, 32], 1: [33, 15], 2: [16, 34], 3: [35, 17], 4: [36, 12]}
known_embedding_nodes = {14, 32, 33, 15, 16, 34, 35, 17, 36, 12}
# Create graph with missing nodes
incomplete_pg = pegasus_graph(m)
removed_nodes = set(incomplete_pg.nodes) - known_embedding_nodes
incomplete_pg.remove_nodes_from(removed_nodes)
# See if clique embedding is found
embedding = find_clique_embedding(k, target_graph=incomplete_pg)
self.assertTrue(is_valid_embedding(embedding, nx.complete_graph(k), incomplete_pg))
def test_clique_missing_edges(self):
k = 9
m = 2
pg = pegasus_graph(m)
#pick a random ordering of the edges
edges = list(pg.edges())
shuffle(edges)
K = nx.complete_graph(k)
#now delete edges, one at a time, until we can no longer embed K
with self.assertRaises(ValueError):
while 1:
(u, v) = edges.pop()
pg.remove_edge(u, v)
# See if clique embedding is found
embedding = find_clique_embedding(k, target_graph=pg)
self.assertTrue(is_valid_embedding(embedding, K, pg))
