blob: 5228d3a0a1e779bba2d6d018127a9f6236113930 [file] [log] [blame]
#!/usr/bin/env python
from nose.tools import *
from networkx import *
from networkx.algorithms.isomorphism.isomorph import graph_could_be_isomorphic
is_isomorphic=graph_could_be_isomorphic
"""Generators - Small
=====================
Some small graphs
"""
null=null_graph()
class TestGeneratorsSmall():
def test_make_small_graph(self):
d=["adjacencylist","Bull Graph",5,[[2,3],[1,3,4],[1,2,5],[2],[3]]]
G=make_small_graph(d)
assert_true(is_isomorphic(G, bull_graph()))
def test__LCF_graph(self):
# If n<=0, then return the null_graph
G=LCF_graph(-10,[1,2],100)
assert_true(is_isomorphic(G,null))
G=LCF_graph(0,[1,2],3)
assert_true(is_isomorphic(G,null))
G=LCF_graph(0,[1,2],10)
assert_true(is_isomorphic(G,null))
# Test that LCF(n,[],0) == cycle_graph(n)
for a, b, c in [(5, [], 0), (10, [], 0), (5, [], 1), (10, [], 10)]:
G=LCF_graph(a, b, c)
assert_true(is_isomorphic(G,cycle_graph(a)))
# Generate the utility graph K_{3,3}
G=LCF_graph(6,[3,-3],3)
utility_graph=complete_bipartite_graph(3,3)
assert_true(is_isomorphic(G, utility_graph))
def test_properties_named_small_graphs(self):
G=bull_graph()
assert_equal(G.number_of_nodes(), 5)
assert_equal(G.number_of_edges(), 5)
assert_equal(sorted(G.degree().values()), [1, 1, 2, 3, 3])
assert_equal(diameter(G), 3)
assert_equal(radius(G), 2)
G=chvatal_graph()
assert_equal(G.number_of_nodes(), 12)
assert_equal(G.number_of_edges(), 24)
assert_equal(list(G.degree().values()), 12 * [4])
assert_equal(diameter(G), 2)
assert_equal(radius(G), 2)
G=cubical_graph()
assert_equal(G.number_of_nodes(), 8)
assert_equal(G.number_of_edges(), 12)
assert_equal(list(G.degree().values()), 8*[3])
assert_equal(diameter(G), 3)
assert_equal(radius(G), 3)
G=desargues_graph()
assert_equal(G.number_of_nodes(), 20)
assert_equal(G.number_of_edges(), 30)
assert_equal(list(G.degree().values()), 20*[3])
G=diamond_graph()
assert_equal(G.number_of_nodes(), 4)
assert_equal(sorted(G.degree().values()), [2, 2, 3, 3])
assert_equal(diameter(G), 2)
assert_equal(radius(G), 1)
G=dodecahedral_graph()
assert_equal(G.number_of_nodes(), 20)
assert_equal(G.number_of_edges(), 30)
assert_equal(list(G.degree().values()), 20*[3])
assert_equal(diameter(G), 5)
assert_equal(radius(G), 5)
G=frucht_graph()
assert_equal(G.number_of_nodes(), 12)
assert_equal(G.number_of_edges(), 18)
assert_equal(list(G.degree().values()), 12*[3])
assert_equal(diameter(G), 4)
assert_equal(radius(G), 3)
G=heawood_graph()
assert_equal(G.number_of_nodes(), 14)
assert_equal(G.number_of_edges(), 21)
assert_equal(list(G.degree().values()), 14*[3])
assert_equal(diameter(G), 3)
assert_equal(radius(G), 3)
G=house_graph()
assert_equal(G.number_of_nodes(), 5)
assert_equal(G.number_of_edges(), 6)
assert_equal(sorted(G.degree().values()), [2, 2, 2, 3, 3])
assert_equal(diameter(G), 2)
assert_equal(radius(G), 2)
G=house_x_graph()
assert_equal(G.number_of_nodes(), 5)
assert_equal(G.number_of_edges(), 8)
assert_equal(sorted(G.degree().values()), [2, 3, 3, 4, 4])
assert_equal(diameter(G), 2)
assert_equal(radius(G), 1)
G=icosahedral_graph()
assert_equal(G.number_of_nodes(), 12)
assert_equal(G.number_of_edges(), 30)
assert_equal(list(G.degree().values()),
[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5])
assert_equal(diameter(G), 3)
assert_equal(radius(G), 3)
G=krackhardt_kite_graph()
assert_equal(G.number_of_nodes(), 10)
assert_equal(G.number_of_edges(), 18)
assert_equal(sorted(G.degree().values()),
[1, 2, 3, 3, 3, 4, 4, 5, 5, 6])
G=moebius_kantor_graph()
assert_equal(G.number_of_nodes(), 16)
assert_equal(G.number_of_edges(), 24)
assert_equal(list(G.degree().values()), 16*[3])
assert_equal(diameter(G), 4)
G=octahedral_graph()
assert_equal(G.number_of_nodes(), 6)
assert_equal(G.number_of_edges(), 12)
assert_equal(list(G.degree().values()), 6*[4])
assert_equal(diameter(G), 2)
assert_equal(radius(G), 2)
G=pappus_graph()
assert_equal(G.number_of_nodes(), 18)
assert_equal(G.number_of_edges(), 27)
assert_equal(list(G.degree().values()), 18*[3])
assert_equal(diameter(G), 4)
G=petersen_graph()
assert_equal(G.number_of_nodes(), 10)
assert_equal(G.number_of_edges(), 15)
assert_equal(list(G.degree().values()), 10*[3])
assert_equal(diameter(G), 2)
assert_equal(radius(G), 2)
G=sedgewick_maze_graph()
assert_equal(G.number_of_nodes(), 8)
assert_equal(G.number_of_edges(), 10)
assert_equal(sorted(G.degree().values()), [1, 2, 2, 2, 3, 3, 3, 4])
G=tetrahedral_graph()
assert_equal(G.number_of_nodes(), 4)
assert_equal(G.number_of_edges(), 6)
assert_equal(list(G.degree().values()), [3, 3, 3, 3])
assert_equal(diameter(G), 1)
assert_equal(radius(G), 1)
G=truncated_cube_graph()
assert_equal(G.number_of_nodes(), 24)
assert_equal(G.number_of_edges(), 36)
assert_equal(list(G.degree().values()), 24*[3])
G=truncated_tetrahedron_graph()
assert_equal(G.number_of_nodes(), 12)
assert_equal(G.number_of_edges(), 18)
assert_equal(list(G.degree().values()), 12*[3])
G=tutte_graph()
assert_equal(G.number_of_nodes(), 46)
assert_equal(G.number_of_edges(), 69)
assert_equal(list(G.degree().values()), 46*[3])
# Test create_using with directed or multigraphs on small graphs
assert_raises(networkx.exception.NetworkXError, tutte_graph,
create_using=DiGraph())
MG=tutte_graph(create_using=MultiGraph())
assert_equal(MG.edges(), G.edges())