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networkx / algorithms / bipartite / tests / test_centrality.py
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from nose.tools import *
import networkx as nx
from networkx.algorithms import bipartite


class TestBipartiteCentrality(object):

    def setUp(self):
        self.P4 = nx.path_graph(4)
        self.K3 = nx.complete_bipartite_graph(3, 3)
        self.C4 = nx.cycle_graph(4)
        self.davis = nx.davis_southern_women_graph()
        self.top_nodes = [n for n, d in self.davis.nodes(data=True)
                          if d['bipartite'] == 0]

    def test_degree_centrality(self):
        d = bipartite.degree_centrality(self.P4, [1, 3])
        answer = {0: 0.5, 1: 1.0,  2: 1.0, 3:  0.5}
        assert_equal(d, answer)
        d = bipartite.degree_centrality(self.K3, [0, 1, 2])
        answer = {0: 1.0, 1: 1.0, 2: 1.0, 3: 1.0, 4: 1.0, 5: 1.0}
        assert_equal(d, answer)
        d = bipartite.degree_centrality(self.C4, [0, 2])
        answer = {0: 1.0, 1: 1.0, 2: 1.0, 3: 1.0}
        assert_equal(d, answer)

    def test_betweenness_centrality(self):
        c = bipartite.betweenness_centrality(self.P4, [1, 3])
        answer = {0: 0.0, 1: 1.0, 2: 1.0, 3: 0.0}
        assert_equal(c, answer)
        c = bipartite.betweenness_centrality(self.K3, [0, 1, 2])
        answer = {0: 0.125, 1: 0.125, 2: 0.125, 3: 0.125, 4: 0.125, 5: 0.125}
        assert_equal(c, answer)
        c = bipartite.betweenness_centrality(self.C4, [0, 2])
        answer = {0: 0.25, 1: 0.25, 2: 0.25, 3: 0.25}
        assert_equal(c, answer)

    def test_closeness_centrality(self):
        c = bipartite.closeness_centrality(self.P4, [1, 3])
        answer = {0: 2.0 / 3, 1: 1.0, 2: 1.0, 3: 2.0 / 3}
        assert_equal(c, answer)
        c = bipartite.closeness_centrality(self.K3, [0, 1, 2])
        answer = {0: 1.0, 1: 1.0, 2: 1.0, 3: 1.0, 4: 1.0, 5: 1.0}
        assert_equal(c, answer)
        c = bipartite.closeness_centrality(self.C4, [0, 2])
        answer = {0: 1.0, 1: 1.0, 2: 1.0, 3: 1.0}
        assert_equal(c, answer)
        G = nx.Graph()
        G.add_node(0)
        G.add_node(1)
        c = bipartite.closeness_centrality(G, [0])
        assert_equal(c, {1: 0.0})
        c = bipartite.closeness_centrality(G, [1])
        assert_equal(c, {1: 0.0})

    def test_davis_degree_centrality(self):
        G = self.davis
        deg = bipartite.degree_centrality(G, self.top_nodes)
        answer = {'E8': 0.78,
                  'E9': 0.67,
                  'E7': 0.56,
                  'Nora Fayette': 0.57,
                  'Evelyn Jefferson': 0.57,
                  'Theresa Anderson': 0.57,
                  'E6': 0.44,
                  'Sylvia Avondale': 0.50,
                  'Laura Mandeville': 0.50,
                  'Brenda Rogers': 0.50,
                  'Katherina Rogers': 0.43,
                  'E5': 0.44,
                  'Helen Lloyd': 0.36,
                  'E3': 0.33,
                  'Ruth DeSand': 0.29,
                  'Verne Sanderson': 0.29,
                  'E12': 0.33,
                  'Myra Liddel': 0.29,
                  'E11': 0.22,
                  'Eleanor Nye': 0.29,
                  'Frances Anderson': 0.29,
                  'Pearl Oglethorpe': 0.21,
                  'E4': 0.22,
                  'Charlotte McDowd': 0.29,
                  'E10': 0.28,
                  'Olivia Carleton': 0.14,
                  'Flora Price': 0.14,
                  'E2': 0.17,
                  'E1': 0.17,
                  'Dorothy Murchison': 0.14,
                  'E13': 0.17,
                  'E14': 0.17}
        for node, value in answer.items():
            assert_almost_equal(value, deg[node], places=2)

    def test_davis_betweenness_centrality(self):
        G = self.davis
        bet = bipartite.betweenness_centrality(G, self.top_nodes)
        answer = {'E8': 0.24,
                  'E9': 0.23,
                  'E7': 0.13,
                  'Nora Fayette': 0.11,
                  'Evelyn Jefferson': 0.10,
                  'Theresa Anderson': 0.09,
                  'E6': 0.07,
                  'Sylvia Avondale': 0.07,
                  'Laura Mandeville': 0.05,
                  'Brenda Rogers': 0.05,
                  'Katherina Rogers': 0.05,
                  'E5': 0.04,
                  'Helen Lloyd': 0.04,
                  'E3': 0.02,
                  'Ruth DeSand': 0.02,
                  'Verne Sanderson': 0.02,
                  'E12': 0.02,
                  'Myra Liddel': 0.02,
                  'E11': 0.02,
                  'Eleanor Nye': 0.01,
                  'Frances Anderson': 0.01,
                  'Pearl Oglethorpe': 0.01,
                  'E4': 0.01,
                  'Charlotte McDowd': 0.01,
                  'E10': 0.01,
                  'Olivia Carleton': 0.01,
                  'Flora Price': 0.01,
                  'E2': 0.00,
                  'E1': 0.00,
                  'Dorothy Murchison': 0.00,
                  'E13': 0.00,
                  'E14': 0.00}
        for node, value in answer.items():
            assert_almost_equal(value, bet[node], places=2)

    def test_davis_closeness_centrality(self):
        G = self.davis
        clos = bipartite.closeness_centrality(G, self.top_nodes)
        answer = {'E8': 0.85,
                  'E9': 0.79,
                  'E7': 0.73,
                  'Nora Fayette': 0.80,
                  'Evelyn Jefferson': 0.80,
                  'Theresa Anderson': 0.80,
                  'E6': 0.69,
                  'Sylvia Avondale': 0.77,
                  'Laura Mandeville': 0.73,
                  'Brenda Rogers': 0.73,
                  'Katherina Rogers': 0.73,
                  'E5': 0.59,
                  'Helen Lloyd': 0.73,
                  'E3': 0.56,
                  'Ruth DeSand': 0.71,
                  'Verne Sanderson': 0.71,
                  'E12': 0.56,
                  'Myra Liddel': 0.69,
                  'E11': 0.54,
                  'Eleanor Nye': 0.67,
                  'Frances Anderson': 0.67,
                  'Pearl Oglethorpe': 0.67,
                  'E4': 0.54,
                  'Charlotte McDowd': 0.60,
                  'E10': 0.55,
                  'Olivia Carleton': 0.59,
                  'Flora Price': 0.59,
                  'E2': 0.52,
                  'E1': 0.52,
                  'Dorothy Murchison': 0.65,
                  'E13': 0.52,
                  'E14': 0.52}
        for node, value in answer.items():
            assert_almost_equal(value, clos[node], places=2)