""" Unit tests for degree centrality. """ import pytest import networkx as nx class TestDegreeCentrality: def setup_method(self): self.K = nx.krackhardt_kite_graph() self.P3 = nx.path_graph(3) self.K5 = nx.complete_graph(5) F = nx.Graph() # Florentine families F.add_edge("Acciaiuoli", "Medici") F.add_edge("Castellani", "Peruzzi") F.add_edge("Castellani", "Strozzi") F.add_edge("Castellani", "Barbadori") F.add_edge("Medici", "Barbadori") F.add_edge("Medici", "Ridolfi") F.add_edge("Medici", "Tornabuoni") F.add_edge("Medici", "Albizzi") F.add_edge("Medici", "Salviati") F.add_edge("Salviati", "Pazzi") F.add_edge("Peruzzi", "Strozzi") F.add_edge("Peruzzi", "Bischeri") F.add_edge("Strozzi", "Ridolfi") F.add_edge("Strozzi", "Bischeri") F.add_edge("Ridolfi", "Tornabuoni") F.add_edge("Tornabuoni", "Guadagni") F.add_edge("Albizzi", "Ginori") F.add_edge("Albizzi", "Guadagni") F.add_edge("Bischeri", "Guadagni") F.add_edge("Guadagni", "Lamberteschi") self.F = F G = nx.DiGraph() G.add_edge(0, 5) G.add_edge(1, 5) G.add_edge(2, 5) G.add_edge(3, 5) G.add_edge(4, 5) G.add_edge(5, 6) G.add_edge(5, 7) G.add_edge(5, 8) self.G = G def test_degree_centrality_1(self): d = nx.degree_centrality(self.K5) exact = dict(zip(range(5), [1] * 5)) for n, dc in d.items(): assert exact[n] == pytest.approx(dc, abs=1e-7) def test_degree_centrality_2(self): d = nx.degree_centrality(self.P3) exact = {0: 0.5, 1: 1, 2: 0.5} for n, dc in d.items(): assert exact[n] == pytest.approx(dc, abs=1e-7) def test_degree_centrality_3(self): d = nx.degree_centrality(self.K) exact = { 0: 0.444, 1: 0.444, 2: 0.333, 3: 0.667, 4: 0.333, 5: 0.556, 6: 0.556, 7: 0.333, 8: 0.222, 9: 0.111, } for n, dc in d.items(): assert exact[n] == pytest.approx(float(f"{dc:.3f}"), abs=1e-7) def test_degree_centrality_4(self): d = nx.degree_centrality(self.F) names = sorted(self.F.nodes()) dcs = [ 0.071, 0.214, 0.143, 0.214, 0.214, 0.071, 0.286, 0.071, 0.429, 0.071, 0.214, 0.214, 0.143, 0.286, 0.214, ] exact = dict(zip(names, dcs)) for n, dc in d.items(): assert exact[n] == pytest.approx(float(f"{dc:.3f}"), abs=1e-7) def test_indegree_centrality(self): d = nx.in_degree_centrality(self.G) exact = { 0: 0.0, 1: 0.0, 2: 0.0, 3: 0.0, 4: 0.0, 5: 0.625, 6: 0.125, 7: 0.125, 8: 0.125, } for n, dc in d.items(): assert exact[n] == pytest.approx(dc, abs=1e-7) def test_outdegree_centrality(self): d = nx.out_degree_centrality(self.G) exact = { 0: 0.125, 1: 0.125, 2: 0.125, 3: 0.125, 4: 0.125, 5: 0.375, 6: 0.0, 7: 0.0, 8: 0.0, } for n, dc in d.items(): assert exact[n] == pytest.approx(dc, abs=1e-7) def test_small_graph_centrality(self): G = nx.empty_graph(create_using=nx.DiGraph) assert {} == nx.degree_centrality(G) assert {} == nx.out_degree_centrality(G) assert {} == nx.in_degree_centrality(G) G = nx.empty_graph(1, create_using=nx.DiGraph) assert {0: 1} == nx.degree_centrality(G) assert {0: 1} == nx.out_degree_centrality(G) assert {0: 1} == nx.in_degree_centrality(G)