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-#!/usr/bin/env python
-# -*- coding: utf-8 -*-
-# $Id: test_maximal_independent_set.py 577 2011-03-01 06:07:53Z lleeoo $
-"""
-Tests for maximal (not maximum) independent sets.
-
-"""
-# Copyright (C) 2004-2010 by
-# Leo Lopes <leo.lopes@monash.edu>
-# Aric Hagberg <hagberg@lanl.gov>
-# Dan Schult <dschult@colgate.edu>
-# Pieter Swart <swart@lanl.gov>
-# All rights reserved.
-# BSD license.
-
-__author__ = """Leo Lopes (leo.lopes@monash.edu)"""
-
-from nose.tools import *
-import networkx as nx
-import random
-
-class TestMaximalIndependantSet(object):
- def setup(self):
- self.florentine = nx.Graph()
- self.florentine.add_edge('Acciaiuoli','Medici')
- self.florentine.add_edge('Castellani','Peruzzi')
- self.florentine.add_edge('Castellani','Strozzi')
- self.florentine.add_edge('Castellani','Barbadori')
- self.florentine.add_edge('Medici','Barbadori')
- self.florentine.add_edge('Medici','Ridolfi')
- self.florentine.add_edge('Medici','Tornabuoni')
- self.florentine.add_edge('Medici','Albizzi')
- self.florentine.add_edge('Medici','Salviati')
- self.florentine.add_edge('Salviati','Pazzi')
- self.florentine.add_edge('Peruzzi','Strozzi')
- self.florentine.add_edge('Peruzzi','Bischeri')
- self.florentine.add_edge('Strozzi','Ridolfi')
- self.florentine.add_edge('Strozzi','Bischeri')
- self.florentine.add_edge('Ridolfi','Tornabuoni')
- self.florentine.add_edge('Tornabuoni','Guadagni')
- self.florentine.add_edge('Albizzi','Ginori')
- self.florentine.add_edge('Albizzi','Guadagni')
- self.florentine.add_edge('Bischeri','Guadagni')
- self.florentine.add_edge('Guadagni','Lamberteschi')
-
- def test_K5(self):
- """Maximal independent set: K5"""
- G = nx.complete_graph(5)
- for node in G:
- assert_equal(nx.maximal_independent_set(G, [node]), [node])
-
- def test_K55(self):
- """Maximal independent set: K55"""
- G = nx.complete_graph(55)
- for node in G:
- assert_equal(nx.maximal_independent_set(G, [node]), [node])
-
- def test_exception(self):
- """Bad input should raise exception."""
- G = self.florentine
- assert_raises(nx.NetworkXUnfeasible,
- nx.maximal_independent_set, G, ["Smith"])
- assert_raises(nx.NetworkXUnfeasible,
- nx.maximal_independent_set, G, ["Salviati", "Pazzi"])
-
- def test_florentine_family(self):
- G = self.florentine
- indep = nx.maximal_independent_set(G, ["Medici", "Bischeri"])
- assert_equal(sorted(indep),
- sorted(["Medici", "Bischeri", "Castellani", "Pazzi",
- "Ginori", "Lamberteschi"]))
-
- def test_bipartite(self):
- G = nx.complete_bipartite_graph(12, 34)
- indep = nx.maximal_independent_set(G, [4, 5, 9, 10])
- assert_equal(sorted(indep), list(range(12)))
-
-
- def test_random_graphs(self):
- """Generate 50 random graphs of different types and sizes and
- make sure that all sets are independent and maximal."""
- for i in range(0, 50, 10):
- G = nx.random_graphs.erdos_renyi_graph(i*10+1, random.random())
- IS = nx.maximal_independent_set(G)
- assert_false(G.subgraph(IS).edges())
- neighbors_of_MIS = set.union(*(set(G.neighbors(v)) for v in IS))
- for v in set(G.nodes()).difference(IS):
- assert_true(v in neighbors_of_MIS)
-