diff ch4ex4.py @ 24:5c2c4ce095ef

A stab at the L(p)/L(0) plot. I still don't quite get how the graphs in the Watts and Strogatz paper were generated. My results have basically the same shape, but don't converge to 0. I'm not sure how this is possible if the rewire function does not remove edges.
author Brian Neal <bgneal@gmail.com>
date Thu, 03 Jan 2013 18:41:13 -0600
parents 74c9d126bd05
children a46783561538
line wrap: on
line diff
--- a/ch4ex4.py	Wed Jan 02 16:50:55 2013 -0600
+++ b/ch4ex4.py	Thu Jan 03 18:41:13 2013 -0600
@@ -20,20 +20,23 @@
 vs = [Vertex(str(i)) for i in range(n)]
 g = SmallWorldGraph(vs, k, 0.0)
 c0 = g.clustering_coefficient()
-print 'c0 =', c0
+l0 = g.big_l()
+print 'c0 =', c0, 'l0 =', l0
 
 # compute data
-p_vals = [0,
-          0.0001, 0.0002, 0.0004, 0.0006, 0.0008,
-          0.001, 0.002, 0.004, 0.006, 0.008,
-          0.01, 0.02, 0.04, 0.06, 0.08,
-          0.1, 0.2, 0.4, 0.6, 0.8,
+p_vals = [# 0,
+          0.0001, 0.0002, 0.0004, # 0.0006, 0.0008,
+          0.001, 0.002, 0.004, # 0.006, 0.008,
+          0.01, 0.02, 0.04, # 0.06, 0.08,
+          0.1, 0.2, 0.4, # 0.6, 0.8,
           1.0]
 
 c_vals = []
+l_vals = []
 for p in p_vals:
     g = SmallWorldGraph(vs, k, p)
     c_vals.append(g.clustering_coefficient() / c0)
+    l_vals.append(g.big_l() / l0)
 
 # plot graph
 pyplot.clf()
@@ -42,6 +45,7 @@
 pyplot.title('')
 pyplot.xlabel('p')
 pyplot.ylabel('C(p)/C(0)')
-pyplot.plot(p_vals, c_vals, label=title, color='green', linewidth=3)
+pyplot.plot(p_vals, c_vals, label='C(p)/C(0)', color='green', linewidth=3)
+pyplot.plot(p_vals, l_vals, label='L(p)/L(0)', color='blue', linewidth=3)
 pyplot.legend(loc=4)
 pyplot.show()