How to add a simple "colorbar" to a network-graph plot in python?

Question

I was wondering how can I simply add a colorbar to my plot. I have to following code, which plots a graph by reading a gml file. I have a set of numbers to assign to the edges as their colors and I just want to see a colorbar right next to the plot so I can analyze the colors. When I add the plt.colorbar(g) it gives me error. How can I add a colorbar without going through all the process of actually building the colorbar?

H = nx.read_gml('./network1.gml')

EAM = EigenVectorCentrality( EAMatrix );

x = [];
for eam in EAM[0]:
    x.append(eam[0]);

 degs =  H.degree().values();
 plt.clf()
 g = nx.draw(H, with_labels=0, edge_color=x, node_size=70, font_size=9, width=1)
 plt.axis('equal')     
 plt.colorbar(g);
 plt.show()

And here is the Nerwork1.gml file:

graph
[
   node
   [
    id 1
   ]
 node
[
    id 2
]
node
[
    id 3
]
node
[
    id 4
]
    node
[
    id 5
]
    node
[
    id 6
]
    node
[
    id 7
]
    node
[
    id 8
]
    node
[
    id 9
]
    node
[
    id 10
]
    node
[
    id 11
]
edge
[
    source 1
    target 2
]
edge
[
    source 1
    target 2
]
edge
[
    source 1
    target 3
]
edge
[
    source 1
    target 4
]
edge
[
    source 1
    target 5
]
edge
[
    source 2
    target 3
]
edge
[
    source 2
    target 4
]
edge
[
    source 2
    target 5
]
edge
[
    source 3
    target 4
]
edge
[
    source 3
    target 5
]
edge
[
    source 4
    target 5
]
edge
[
    source 6
    target 7
]
edge
[
    source 6
    target 8
]
edge
[
    source 6
    target 9
]
edge
[
    source 6
    target 10
]
edge
[
    source 7
    target 8
]
edge
[
    source 7
    target 9
]

edge
[
    source 7
    target 10
]
edge
[
    source 8
    target 9
]
edge
[
    source 8
    target 10
]
edge
[
    source 9
    target 10
]
edge
[
    source 5
    target 6
]
edge
[
    source 5
    target 11
]
 edge
 [
    source 6
    target 11
 ]
]

Answer 1

Since I did not have your data available, I used this simple example from the networx homepage. But it should be trivial for you to use it in your code.

import matplotlib.pyplot as plt
import networkx as nx

G=nx.star_graph(20)
pos=nx.spring_layout(G)
colors=range(20)
cmap=plt.cm.Blues
vmin = min(colors)
vmax = max(colors)
nx.draw(G, pos, node_color='#A0CBE2', edge_color=colors, width=4, edge_cmap=cmap,
           with_labels=False, vmin=vmin, vmax=vmax)
sm = plt.cm.ScalarMappable(cmap=cmap, norm=plt.Normalize(vmin = vmin, vmax=vmax))
sm._A = []
plt.colorbar(sm)
plt.show()

This does the trick, but I agree, it is a bit sad that nx.draw just returns None.