def test_un_directed_weighted_graph_remove_vertex_v0(self):
"""
Test method "remove_vertex".
"""
# https://reference.wolfram.com/mathematica/ref/VertexDelete.html
# Create a graph from where a vertex should be removed.
a_graph = graph.UnDirectedWeightedGraph(5)
v_0 = graph_vertex.UnWeightedGraphVertex(a_graph, 'A')
v_1 = graph_vertex.UnWeightedGraphVertex(a_graph, 'B')
v_2 = graph_vertex.UnWeightedGraphVertex(a_graph, 'C')
v_3 = graph_vertex.UnWeightedGraphVertex(a_graph, 'D')
v_4 = graph_vertex.UnWeightedGraphVertex(a_graph, 'E')
# Add vertices to the graph.
a_graph.add_vertex(v_0)
a_graph.add_vertex(v_1)
a_graph.add_vertex(v_2)
a_graph.add_vertex(v_3)
a_graph.add_vertex(v_4)
# Add edges to the graph.
a_graph.add_edge(v_0, v_1, 10)
a_graph.add_edge(v_0, v_2, 20)
a_graph.add_edge(v_0, v_3, 30)
a_graph.add_edge(v_0, v_4, 40)
a_graph.add_edge(v_1, v_2, 50)
a_graph.add_edge(v_1, v_3, 60)
a_graph.add_edge(v_1, v_4, 70)
a_graph.add_edge(v_2, v_3, 80)
a_graph.add_edge(v_2, v_4, 90)
a_graph.add_edge(v_3, v_4, 100)
# Create a reference graph used to compare the result after a vertex has been removed.
g_ref = graph.UnDirectedWeightedGraph(4)
# Create reference vertices.
v1_ref = graph_vertex.UnWeightedGraphVertex(g_ref, 'B')
v2_ref = graph_vertex.UnWeightedGraphVertex(g_ref, 'C')
v3_ref = graph_vertex.UnWeightedGraphVertex(g_ref, 'D')
v4_ref = graph_vertex.UnWeightedGraphVertex(g_ref, 'E')
# Add vertices to the reference graph.
g_ref.add_vertex(v1_ref)
g_ref.add_vertex(v2_ref)
g_ref.add_vertex(v3_ref)
g_ref.add_vertex(v4_ref)
# Add edges to the reference graph.
g_ref.add_edge(v1_ref, v2_ref, 50)
g_ref.add_edge(v1_ref, v3_ref, 60)
g_ref.add_edge(v1_ref, v4_ref, 70)
g_ref.add_edge(v2_ref, v3_ref, 80)
g_ref.add_edge(v2_ref, v4_ref, 90)
g_ref.add_edge(v3_ref, v4_ref, 100)
# Remove vertex form graph.
a_graph.remove_vertex(v_0)
self.assertEqual(g_ref, a_graph)
def test_un_directed_weighted_graph_classify_edges_acyclic(self):
"""
Test classify edges - acyclic graph.
"""
# Create an undirected unweighted acyclic graph
a_graph = graph.UnDirectedWeightedGraph(4)
v_1 = graph_vertex.UnWeightedGraphVertex(a_graph, 'A')
v_2 = graph_vertex.UnWeightedGraphVertex(a_graph, 'B')
v_3 = graph_vertex.UnWeightedGraphVertex(a_graph, 'C')
v_4 = graph_vertex.UnWeightedGraphVertex(a_graph, 'D')
a_graph.add_vertex(v_1)
a_graph.add_vertex(v_2)
a_graph.add_vertex(v_3)
a_graph.add_vertex(v_4)
a_graph.add_edge(v_1, v_2, 10)
a_graph.add_edge(v_2, v_3, 20)
a_graph.add_edge(v_2, v_4, 30)
res = a_graph.classify_edges().get_edges()
ref = dfs_edge_classification.DFSEdgeClassification(
a_graph).get_edges()
e12 = graph_edge.UnDirectedWeightedGraphEdge(a_graph, v_1, v_2, 10)
e23 = graph_edge.UnDirectedWeightedGraphEdge(a_graph, v_2, v_3, 20)
e24 = graph_edge.UnDirectedWeightedGraphEdge(a_graph, v_2, v_4, 30)
ref[e12] = graph_edge.EdgeClassification.TREE_EDGE
ref[e23] = graph_edge.EdgeClassification.TREE_EDGE
ref[e24] = graph_edge.EdgeClassification.TREE_EDGE
self.assertEqual(res, ref)
def test_un_directed_weighted_graph_copy(self):
"""
Test operator "copy".
"""
a_graph = graph.UnDirectedWeightedGraph(5)
v_1 = graph_vertex.UnWeightedGraphVertex(a_graph, 'A')
v_2 = graph_vertex.UnWeightedGraphVertex(a_graph, 'B')
v_3 = graph_vertex.UnWeightedGraphVertex(a_graph, 'C')
v_4 = graph_vertex.UnWeightedGraphVertex(a_graph, 'D')
v_5 = graph_vertex.UnWeightedGraphVertex(a_graph, 'E')
a_graph.add_vertex(v_1)
a_graph.add_vertex(v_2)
a_graph.add_vertex(v_3)
a_graph.add_vertex(v_4)
a_graph.add_vertex(v_5)
a_graph.add_edge(v_1, v_2, 1)
a_graph.add_edge(v_1, v_3, 2)
a_graph.add_edge(v_1, v_4, 3)
a_graph.add_edge(v_1, v_5, 4)
a_graph.add_edge(v_2, v_3, 5)
a_graph.add_edge(v_2, v_4, 6)
a_graph.add_edge(v_2, v_5, 7)
a_graph.add_edge(v_3, v_4, 8)
a_graph.add_edge(v_3, v_5, 9)
a_graph.add_edge(v_4, v_5, 10)
ref = copy.copy(a_graph)
self.assertEqual(a_graph, ref)
def test_un_directed_weighted_graph_has_vertex(self):
"""
Test method "has_vertex".
"""
a_graph = graph.UnDirectedWeightedGraph(1)
a_vertex = graph_vertex.UnWeightedGraphVertex(a_graph, 'A')
a_graph.add_vertex(a_vertex)
self.assertTrue(a_graph.has_vertex(a_vertex))
def test_un_directed_weighted_graph_has_edge(self):
"""
Test method "has_edge".
"""
a_graph = graph.UnDirectedWeightedGraph(2)
vertex_a = graph_vertex.UnWeightedGraphVertex(a_graph, 'A')
vertex_b = graph_vertex.UnWeightedGraphVertex(a_graph, 'B')
a_graph.add_vertex(vertex_a)
a_graph.add_vertex(vertex_b)
a_edge = graph_edge.UnDirectedWeightedGraphEdge(
a_graph, vertex_a, vertex_b, 7)
a_graph.add_edge(vertex_a, vertex_b, 7)
self.assertTrue(a_graph.has_edge(a_edge))
def test_un_directed_weighted_graph_is_cyclic_not(self):
"""
Test method "is_cyclic" - inverted.
"""
a_graph = graph.UnDirectedWeightedGraph(4)
v_1 = graph_vertex.UnWeightedGraphVertex(a_graph, 'A')
v_2 = graph_vertex.UnWeightedGraphVertex(a_graph, 'B')
v_3 = graph_vertex.UnWeightedGraphVertex(a_graph, 'C')
v_4 = graph_vertex.UnWeightedGraphVertex(a_graph, 'D')
a_graph.add_vertex(v_1)
a_graph.add_vertex(v_2)
a_graph.add_vertex(v_3)
a_graph.add_vertex(v_4)
a_graph.add_edge(v_1, v_2, 1)
a_graph.add_edge(v_2, v_3, 2)
a_graph.add_edge(v_2, v_4, 3)
self.assertFalse(a_graph.is_cyclic())
def test_un_directed_weighted_graph_remove_edge(self):
"""
Test method "remove_edge".
"""
# https://reference.wolfram.com/mathematica/ref/VertexDelete.html
a_graph = graph.UnDirectedWeightedGraph(5)
v_1 = graph_vertex.UnWeightedGraphVertex(a_graph, 'A')
v_2 = graph_vertex.UnWeightedGraphVertex(a_graph, 'B')
v_3 = graph_vertex.UnWeightedGraphVertex(a_graph, 'C')
v_4 = graph_vertex.UnWeightedGraphVertex(a_graph, 'D')
v_5 = graph_vertex.UnWeightedGraphVertex(a_graph, 'E')
a_graph.add_vertex(v_1)
a_graph.add_vertex(v_2)
a_graph.add_vertex(v_3)
a_graph.add_vertex(v_4)
a_graph.add_vertex(v_5)
a_graph.add_edge(v_1, v_2, 10)
a_graph.add_edge(v_1, v_3, 20)
a_graph.add_edge(v_1, v_4, 30)
a_graph.add_edge(v_1, v_5, 40)
a_graph.add_edge(v_2, v_3, 50)
a_graph.add_edge(v_2, v_4, 60)
a_graph.add_edge(v_2, v_5, 70)
a_graph.add_edge(v_3, v_4, 80)
a_graph.add_edge(v_3, v_5, 90)
a_graph.add_edge(v_4, v_5, 100)
a_graph.remove_edge(v_1, v_2)
a_graph.remove_edge(v_1, v_3)
a_graph.remove_edge(v_1, v_4)
a_graph.remove_edge(v_1, v_5)
a_graph.remove_edge(v_2, v_3)
a_graph.remove_edge(v_2, v_4)
a_graph.remove_edge(v_2, v_5)
a_graph.remove_edge(v_3, v_4)
a_graph.remove_edge(v_3, v_5)
a_graph.remove_edge(v_4, v_5)
ref = []
res = a_graph.get_edges()
self.assertEqual(ref, res)
def setUp(self):
self.g_1 = graph.UnDirectedWeightedGraph(7)
self.v_1 = graph_vertex.UnWeightedGraphVertex(self.g_1, 'A')
self.v_2 = graph_vertex.UnWeightedGraphVertex(self.g_1, 'B')
self.v_3 = graph_vertex.UnWeightedGraphVertex(self.g_1, 'C')
self.v_4 = graph_vertex.UnWeightedGraphVertex(self.g_1, 'D')
self.v_5 = graph_vertex.UnWeightedGraphVertex(self.g_1, 'E')
self.v_6 = graph_vertex.UnWeightedGraphVertex(self.g_1, 'F')
self.v_7 = graph_vertex.UnWeightedGraphVertex(self.g_1, 'G')
self.g_1.add_vertex(self.v_1)
self.g_1.add_vertex(self.v_2)
self.g_1.add_vertex(self.v_3)
self.g_1.add_vertex(self.v_4)
self.g_1.add_vertex(self.v_5)
self.g_1.add_vertex(self.v_6)
self.g_1.add_vertex(self.v_7)
self.e12 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_1, self.v_2, 7)
self.e21 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_2, self.v_1, 7)
self.e14 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_1, self.v_4, 5)
self.e41 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_4, self.v_1, 5)
self.e23 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_2, self.v_3, 8)
self.e32 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_3, self.v_2, 8)
self.e24 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_2, self.v_4, 9)
self.e42 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_4, self.v_2, 9)
self.e25 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_2, self.v_5, 7)
self.e52 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_5, self.v_2, 7)
self.e35 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_3, self.v_5, 5)
self.e53 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_5, self.v_3, 5)
self.e45 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_4, self.v_5, 15)
self.e54 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_5, self.v_4, 15)
self.e46 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_4, self.v_6, 6)
self.e64 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_6, self.v_4, 6)
self.e56 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_5, self.v_6, 8)
self.e65 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_6, self.v_5, 8)
self.e57 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_5, self.v_7, 9)
self.e75 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_7, self.v_5, 9)
self.e67 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_6, self.v_7, 11)
self.e76 = graph_edge.UnDirectedWeightedGraphEdge(
self.g_1, self.v_7, self.v_6, 11)
self.g_1.add_edge(self.v_1, self.v_2, 7)
self.g_1.add_edge(self.v_1, self.v_4, 5)
self.g_1.add_edge(self.v_2, self.v_3, 8)
self.g_1.add_edge(self.v_2, self.v_4, 9)
self.g_1.add_edge(self.v_2, self.v_5, 7)
self.g_1.add_edge(self.v_3, self.v_5, 5)
self.g_1.add_edge(self.v_4, self.v_5, 15)
self.g_1.add_edge(self.v_4, self.v_6, 6)
self.g_1.add_edge(self.v_5, self.v_6, 8)
self.g_1.add_edge(self.v_5, self.v_7, 9)
self.g_1.add_edge(self.v_6, self.v_7, 11)
def setUp(self):
# Graph from http://en.wikipedia.org/wiki/Prim%27s_algorithm
self.graph1 = graph.UnDirectedWeightedGraph(7)
self.v1_g1 = graph_vertex.UnWeightedGraphVertex(self.graph1, "A")
self.v2_g1 = graph_vertex.UnWeightedGraphVertex(self.graph1, "B")
self.v3_g1 = graph_vertex.UnWeightedGraphVertex(self.graph1, "C")
self.v4_g1 = graph_vertex.UnWeightedGraphVertex(self.graph1, "D")
self.v5_g1 = graph_vertex.UnWeightedGraphVertex(self.graph1, "E")
self.v6_g1 = graph_vertex.UnWeightedGraphVertex(self.graph1, "F")
self.v7_g1 = graph_vertex.UnWeightedGraphVertex(self.graph1, "G")
self.graph1.add_vertex(self.v1_g1)
self.graph1.add_vertex(self.v2_g1)
self.graph1.add_vertex(self.v3_g1)
self.graph1.add_vertex(self.v4_g1)
self.graph1.add_vertex(self.v5_g1)
self.graph1.add_vertex(self.v6_g1)
self.graph1.add_vertex(self.v7_g1)
self.graph1.add_edge(self.v1_g1, self.v2_g1, 7) # ( A - B, 7 )
self.graph1.add_edge(self.v1_g1, self.v4_g1, 5) # ( A - D, 5 )
self.graph1.add_edge(self.v2_g1, self.v3_g1, 8) # ( B - C, 8 )
self.graph1.add_edge(self.v2_g1, self.v4_g1, 9) # ( B - D, 9 )
self.graph1.add_edge(self.v2_g1, self.v5_g1, 7) # ( B - E, 7 )
self.graph1.add_edge(self.v3_g1, self.v5_g1, 5) # ( C - E, 5 )
self.graph1.add_edge(self.v4_g1, self.v5_g1, 15) # ( D - E, 15 )
self.graph1.add_edge(self.v4_g1, self.v6_g1, 6) # ( D - F, 6 )
self.graph1.add_edge(self.v5_g1, self.v6_g1, 8) # ( E - F, 8 )
self.graph1.add_edge(self.v5_g1, self.v7_g1, 9) # ( E - G, 9 )
self.graph1.add_edge(self.v6_g1, self.v7_g1, 11) # ( F - G, 11 )
# Directed weighted graph from:
# http://compalg.inf.elte.hu/~tony/Oktatas/TDK/FINAL/Chap%2013.PDF
self.graph2 = graph.DirectedWeightedGraph(7)
self.v0_g2 = graph_vertex.UnWeightedGraphVertex(self.graph2, "A")
self.v1_g2 = graph_vertex.UnWeightedGraphVertex(self.graph2, "B")
self.v2_g2 = graph_vertex.UnWeightedGraphVertex(self.graph2, "C")
self.v3_g2 = graph_vertex.UnWeightedGraphVertex(self.graph2, "D")
self.v4_g2 = graph_vertex.UnWeightedGraphVertex(self.graph2, "E")
self.v5_g2 = graph_vertex.UnWeightedGraphVertex(self.graph2, "F")
self.v6_g2 = graph_vertex.UnWeightedGraphVertex(self.graph2, "G")
self.graph2.add_vertex(self.v0_g2)
self.graph2.add_vertex(self.v1_g2)
self.graph2.add_vertex(self.v2_g2)
self.graph2.add_vertex(self.v3_g2)
self.graph2.add_vertex(self.v4_g2)
self.graph2.add_vertex(self.v5_g2)
self.graph2.add_vertex(self.v6_g2)
self.graph2.add_edge(self.v0_g2, self.v1_g2, 7) # ( A - B, 7 )
self.graph2.add_edge(self.v1_g2, self.v2_g2, 2) # ( B - C, 2 )
self.graph2.add_edge(self.v1_g2, self.v6_g2, 3) # ( B - G, 3 )
self.graph2.add_edge(self.v2_g2, self.v3_g2, 2) # ( C - D, 2 )
self.graph2.add_edge(self.v2_g2, self.v6_g2, 4) # ( C - G, 4 )
self.graph2.add_edge(self.v3_g2, self.v4_g2, 5) # ( D - E, 5 )
self.graph2.add_edge(self.v3_g2, self.v6_g2, 1) # ( D - G, 5 )
self.graph2.add_edge(self.v4_g2, self.v5_g2, 6) # ( E - F, 6 )
self.graph2.add_edge(self.v5_g2, self.v0_g2, 1) # ( F - A, 1 )
self.graph2.add_edge(self.v5_g2, self.v6_g2, 4) # ( F - G, 4 )
self.graph2.add_edge(self.v6_g2, self.v0_g2, 7) # ( G - A, 7 )
self.graph2.add_edge(self.v6_g2, self.v4_g2, 1) # ( G - E, 1 )