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networkx / algorithms / community / tests / test_kclique.py
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from itertools import combinations

from nose.tools import assert_equal
from nose.tools import raises

import networkx as nx
from networkx.algorithms.community import k_clique_communities


def test_overlapping_K5():
    G = nx.Graph()
    G.add_edges_from(combinations(range(5), 2))  # Add a five clique
    G.add_edges_from(combinations(range(2, 7), 2))  # Add another five clique
    c = list(k_clique_communities(G, 4))
    assert_equal(c, [frozenset(range(7))])
    c = set(k_clique_communities(G, 5))
    assert_equal(c, {frozenset(range(5)), frozenset(range(2, 7))})


def test_isolated_K5():
    G = nx.Graph()
    G.add_edges_from(combinations(range(0, 5), 2))  # Add a five clique
    G.add_edges_from(combinations(range(5, 10), 2))  # Add another five clique
    c = set(k_clique_communities(G, 5))
    assert_equal(c, {frozenset(range(5)), frozenset(range(5, 10))})


class TestZacharyKarateClub(object):

    def setup(self):
        self.G = nx.karate_club_graph()

    def _check_communities(self, k, expected):
        communities = set(k_clique_communities(self.G, k))
        assert_equal(communities, expected)

    def test_k2(self):
        # clique percolation with k=2 is just connected components
        expected = {frozenset(self.G)}
        self._check_communities(2, expected)

    def test_k3(self):
        comm1 = [0, 1, 2, 3, 7, 8, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23,
                 26, 27, 28, 29, 30, 31, 32, 33]
        comm2 = [0, 4, 5, 6, 10, 16]
        comm3 = [24, 25, 31]
        expected = {frozenset(comm1), frozenset(comm2), frozenset(comm3)}
        self._check_communities(3, expected)

    def test_k4(self):
        expected = {frozenset([0, 1, 2, 3, 7, 13]), frozenset([8, 32, 30, 33]),
                    frozenset([32, 33, 29, 23])}
        self._check_communities(4, expected)

    def test_k5(self):
        expected = {frozenset([0, 1, 2, 3, 7, 13])}
        self._check_communities(5, expected)

    def test_k6(self):
        expected = set()
        self._check_communities(6, expected)


@raises(nx.NetworkXError)
def test_bad_k():
    list(k_clique_communities(nx.Graph(), 1))