In [1]:
%pylab --no-import-all inline


Populating the interactive namespace from numpy and matplotlib

Make dataset


In [30]:
import networkx as nx
from tqdm import tqdm

In [9]:
nx.__version__


Out[9]:
'2.0.dev_20170329151437'

We'll use the parameters from Yang et al. for generating networks.


In [37]:
AVERAGE_DEGREE = 20
DEGREE_DISTRIBUTION_EXPONENT=2.01
COMMUNITY_SIZE_DISTRIBUTION_EXPONENT=1.01

def maximum_degree(n):
    return int(0.1 * n)

def maximum_community_size(n):
    return int(0.1 * n)

N_MIXING_COEFFICIENTS = 10
MIN_MIXING_COEFFICIENT = 0.03
MAX_MIXING_COEFFICIENT = 0.75
MIXING_COEFFICIENTS = np.linspace(MIN_MIXING_COEFFICIENT,
                                  MAX_MIXING_COEFFICIENT,
                                  N_MIXING_COEFFICIENTS)

N_NETWORK_SIZES = 10
MIN_NETWORK_SIZE = 233
MAX_NETWORK_SIZE = 31948
NETWORK_SIZES = range(MIN_NETWORK_SIZE,
                     MAX_NETWORK_SIZE,
                     N_NETWORK_SIZES)

In [38]:
for n in tqdm(NETWORK_SIZES):
    for mu in tqdm(MIXING_COEFFICIENTS):
        G = nx.LFR_benchmark_graph(n=n, tau1=DEGREE_DISTRIBUTION_EXPONENT, 
                                   tau2=COMMUNITY_SIZE_DISTRIBUTION_EXPONENT, mu=mu, 
                                   average_degree=AVERAGE_DEGREE,
                                   max_community=maximum_community_size(n),
                                   max_degree=maximum_degree(n), max_iters=1000,
                                   seed=1337)


  0%|          | 0/3172 [00:00<?, ?it/s]
  0%|          | 0/10 [00:00<?, ?it/s]

---------------------------------------------------------------------------
ExceededMaxIterations                     Traceback (most recent call last)
<ipython-input-38-80e0ae60fa7b> in <module>()
      6                                    max_community=maximum_community_size(n),
      7                                    max_degree=maximum_degree(n), max_iters=1000,
----> 8                                    seed=1337)

/Users/Arya/anaconda/lib/python3.5/site-packages/networkx/algorithms/community/community_generators.py in LFR_benchmark_graph(n, tau1, tau2, mu, average_degree, min_degree, max_degree, min_community, max_community, tol, max_iters, seed)
    355     if min_degree is None:
    356         min_degree = _generate_min_degree(tau1, average_degree, max_degree,
--> 357                                           tol, max_iters)
    358 
    359     # Generate a degree sequence with a power law distribution.

/Users/Arya/anaconda/lib/python3.5/site-packages/networkx/algorithms/community/community_generators.py in _generate_min_degree(gamma, average_degree, max_degree, tolerance, max_iters)
    101     while abs(mid_avg_deg - average_degree) > tolerance:
    102         if itrs > max_iters:
--> 103             raise nx.ExceededMaxIterations("Could not match average_degree")
    104         mid_avg_deg = 0
    105         for x in range(int(min_deg_mid), max_degree + 1):

ExceededMaxIterations: Could not match average_degree

In [39]:
n = 250
tau1 = 3
tau2 = 1.5
mu = 0.1
G = nx.LFR_benchmark_graph(n, tau1, tau2, mu, average_degree=5,
                           min_community=20, seed=10)

In [44]:
G.node


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In [ ]: