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File:Barabasi Albert model.gif

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Original file (800 × 800 pixels, file size: 255 KB, MIME type: image/gif, looped, 18 frames, 18 s)

Summary

Description
English: The evolution of a network by the Barabasi–Albert model. In every step, one new node appears, and in this case there is two new edges from the new node to the old ones.
Magyar: Egy hálózat fejlődése a Barabási–Albert modell szerint. Minden lépésben egy új csúcs jelenik meg, és ebben a változatban minden új csúcsból két él mutat a régi csúcsokhoz.
Date
Source Created by the NetworkX module of the Python
Author Horváth Árpád
 
This plot was created with Matplotlib.

The code is (using the python-networkx and python-matplotlib packages on Ubuntu GNU/Linux distribution):

#! /usr/bin/python
# coding: utf-8

import networkx
#import pylab
from pylab import pi, cos, sin, linspace, array
import matplotlib.pyplot as plt
import os 

node_number = 20
initial_nodes = 2
animation = False
animation = True

G=networkx.barabasi_albert_graph(node_number, initial_nodes)

# pos=networkx.graphviz_layout(G, prog="dot")
type="shell4"
pos=networkx.shell_layout(G)
#pos=networkx.graphviz_layout(G,prog='twopi',args=)
print pos

dir=os.path.join("images", type)
if not os.path.isdir(dir):
    os.mkdir(dir)

Ge = networkx.empty_graph(node_number)
#networkx.draw(GG,pos, node_color="w")

for i in range(initial_nodes,node_number):
    nodes = range(i+1)
    GG = G.subgraph(nodes)
    plt.figure(figsize=(8,8))
    networkx.draw(GG,pos, node_color="w", alpha=0.5, node_color="blue", node_size=20, with_labels=False, hold=False)
    #networkx.draw(Ge,pos, node_color="w", alpha=0.5, node_color="blue", node_size=20, with_labels=False, hold=True)
    #nx.draw(G,pos,node_size=20,alpha=0.5,node_color="blue", with_labels=False)
    xmax=max(xx for xx,yy in pos.values())
    xmin=min(xx for xx,yy in pos.values() + [(0,0)])
    ymax=max(yy for xx,yy in pos.values())
    ymin=min(yy for xx,yy in pos.values() + [(0,0)])
    dx = xmax - xmin
    ddx=0.1*dx
    dy = ymax - ymin
    ddy=0.1*dy
    plt.xlim(xmin-ddx,xmax+ddx)
    plt.ylim(ymin-ddy,ymax+ddy)
    plt.savefig("%s/barabasi_%s%02d.png" % (dir, type, i))

if animation:
    input = os.path.join(dir, "*.png")
    output = os.path.join(dir, "barabasi_albert.gif")
    os.system("convert -delay 100 -loop 0 %s %s" % (input, output))

(If someone knows how to eliminate the frame around the network, write to me, please.)

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

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depicts

27 January 2009

image/gif

a52986cf2e3204f992ee6f633ef66264faa8686a

260,850 byte

18 second

800 pixel

800 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current08:44, 20 July 2011Thumbnail for version as of 08:44, 20 July 2011800 × 800 (255 KB)52Dora囧rz被耍了...
08:43, 20 July 2011Thumbnail for version as of 08:43, 20 July 2011800 × 800 (296 KB)52Dora最新版本的GIF根本就没有动
13:20, 29 January 2009Thumbnail for version as of 13:20, 29 January 2009800 × 800 (255 KB)HarpWithout frame (without plt.frame("equal")
22:02, 28 January 2009Thumbnail for version as of 22:02, 28 January 2009800 × 800 (296 KB)Harp{{Information |Description={{en|1=The evolution of a graph by the Barabasi Albert model. In every step, one new node appears, and in this case there is two new edges from the new node to the old ones. }} {{hu|1=Egy gráf fejlődése a Barabási-Albert mod

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