def test_graph_certificate():
# test tensor invariants constructed from random regular graphs;
# checked graph isomorphism with networkx
import random
def randomize_graph(size, g):
p = list(range(size))
random.shuffle(p)
g1a = {}
for k, v in g1.items():
g1a[p[k]] = [p[i] for i in v]
return g1a
g1 = {0: [2, 3, 7], 1: [4, 5, 7], 2: [0, 4, 6], 3: [0, 6, 7], 4: [1, 2, 5], 5: [1, 4, 6], 6: [2, 3, 5], 7: [0, 1, 3]}
g2 = {0: [2, 3, 7], 1: [2, 4, 5], 2: [0, 1, 5], 3: [0, 6, 7], 4: [1, 5, 6], 5: [1, 2, 4], 6: [3, 4, 7], 7: [0, 3, 6]}
c1 = graph_certificate(g1)
c2 = graph_certificate(g2)
assert c1 != c2
g1a = randomize_graph(8, g1)
c1a = graph_certificate(g1a)
assert c1 == c1a
g1 = {0: [8, 1, 9, 7], 1: [0, 9, 3, 4], 2: [3, 4, 6, 7], 3: [1, 2, 5, 6], 4: [8, 1, 2, 5], 5: [9, 3, 4, 7], 6: [8, 2, 3, 7], 7: [0, 2, 5, 6], 8: [0, 9, 4, 6], 9: [8, 0, 5, 1]}
g2 = {0: [1, 2, 5, 6], 1: [0, 9, 5, 7], 2: [0, 4, 6, 7], 3: [8, 9, 6, 7], 4: [8, 2, 6, 7], 5: [0, 9, 8, 1], 6: [0, 2, 3, 4], 7: [1, 2, 3, 4], 8: [9, 3, 4, 5], 9: [8, 1, 3, 5]}
c1 = graph_certificate(g1)
c2 = graph_certificate(g2)
assert c1 != c2
g1a = randomize_graph(10, g1)
c1a = graph_certificate(g1a)
assert c1 == c1a
def test_graph_certificate():
# test tensor invariants constructed from random regular graphs;
# checked graph isomorphism with networkx
import random
def randomize_graph(size, g):
p = list(range(size))
random.shuffle(p)
g1a = {}
for k, v in g1.items():
g1a[p[k]] = [p[i] for i in v]
return g1a
g1 = {0: [2, 3, 7], 1: [4, 5, 7], 2: [0, 4, 6], 3: [0, 6, 7], 4: [1, 2, 5], 5: [1, 4, 6], 6: [2, 3, 5], 7: [0, 1, 3]}
g2 = {0: [2, 3, 7], 1: [2, 4, 5], 2: [0, 1, 5], 3: [0, 6, 7], 4: [1, 5, 6], 5: [1, 2, 4], 6: [3, 4, 7], 7: [0, 3, 6]}
c1 = graph_certificate(g1)
c2 = graph_certificate(g2)
assert c1 != c2
g1a = randomize_graph(8, g1)
c1a = graph_certificate(g1a)
assert c1 == c1a
g1 = {0: [8, 1, 9, 7], 1: [0, 9, 3, 4], 2: [3, 4, 6, 7], 3: [1, 2, 5, 6], 4: [8, 1, 2, 5], 5: [9, 3, 4, 7], 6: [8, 2, 3, 7], 7: [0, 2, 5, 6], 8: [0, 9, 4, 6], 9: [8, 0, 5, 1]}
g2 = {0: [1, 2, 5, 6], 1: [0, 9, 5, 7], 2: [0, 4, 6, 7], 3: [8, 9, 6, 7], 4: [8, 2, 6, 7], 5: [0, 9, 8, 1], 6: [0, 2, 3, 4], 7: [1, 2, 3, 4], 8: [9, 3, 4, 5], 9: [8, 1, 3, 5]}
c1 = graph_certificate(g1)
c2 = graph_certificate(g2)
assert c1 != c2
g1a = randomize_graph(10, g1)
c1a = graph_certificate(g1a)
assert c1 == c1a