具有随机幂律分布权的网络

Question

如何将幂律分布中的权重随机分配给具有大量节点的网络。

我写了

import networkx as nx
import numpy as np
from networkx.utils import powerlaw_sequence

z=nx.utils.create_degree_sequence(200,nx.utils.powerlaw_sequence,exponent=1.9)
nx.is_valid_degree_sequence(z) 
G=nx.configuration_model(z)
Gcc=nx.connected_component_subgraphs(G)[0]

edgelist=[nx.utils.powerlaw_sequence(nx.number_of_edges(Gcc),exponent=2.0)]

我知道我通过元组(node1，node2，weight)的字典将权重分配给边，使用：

nx.from_edgelist(edgelist,create_using=None)

但是，当我只对权重按幂律分布的加权网络感兴趣时，有没有另一种更短的方法？

Answer 1

你可以直接使用Gu‘’weight‘赋权重，例如

In [1]: import networkx as nx

In [2]: import random

In [3]: G = nx.path_graph(10)

In [4]: for u,v in G.edges():
   ...:     G[u][v]['weight'] = random.paretovariate(2)
   ...:     
   ...:     

In [5]: print G.edges(data=True)
[(0, 1, {'weight': 1.6988521989583232}), (1, 2, {'weight': 1.0749963615177736}), (2, 3, {'weight': 1.1503859779558812}), (3, 4, {'weight': 1.675436575683888}), (4, 5, {'weight': 1.1948608572552846}), (5, 6, {'weight': 1.080152340891444}), (6, 7, {'weight': 1.0296667672332183}), (7, 8, {'weight': 2.0014384064255446}), (8, 9, {'weight': 2.2691612212058447})]

我使用了Python的random.paretovariate()来选择权重，当然，您可以在那里放置任何您想要的东西。

Answer 2

我试着得到了下面的结果..我希望它能帮上忙。此外，我正在寻找更好的方法，因为这不能确保我得到一个连接的网络。另外，我还需要检查它的属性。

'''written by Aya Al-Zarka'''

import networkx as nx
import matplotlib.pyplot as plt
from networkx.utils import powerlaw_sequence
import random as r
import numpy as np

G=nx.Graph()
v=[]
for i in range(100):
v.append(i)

G.add_nodes_from(v)

weight=[]
for j in range(300):
   l=powerlaw_sequence(300,exponent=2.0)
   weight.append(r.choice(l))
#print(weight)
e=[]
for k in range(300):
   f=[r.choice(v),r.choice(v),r.choice(weight)]
   e.append(f)

G.add_weighted_edges_from(e,weight='weight')

print(nx.is_connected(G)) #not always!


m=np.divide(weight,100.0)
pos=nx.random_layout(G,dim=2)
nx.draw_networkx_nodes(G,pos,nodelist=None,node_size=300,node_color='y',
                   node_shape='*', alpha=1.0, cmap=None, vmin=None,
                   vmax=None, ax=None, linewidths=None,)
 nx.draw_networkx_edges(G,pos,edgelist=None,width=m,
edge_color='b',style='solid',alpha=None,edge_cmap=None, edge_vmin=None,
edge_vmax=None, ax=None, arrows=False)
plt.ylim(0,1)
plt.xlim(0,1)
plt.axis('off')
plt.show()