def main(script, n='1000', k='10', *args):
n = int(n) #number of vertices
k = int(k) #number of edges in regular graph
vertices = [Vertex(c) for c in range(n)]
g = SmallWorldGraph(vertices)
g.add_regular_edges(k)
#regular graph's clustering coefficient and avg path length
c_zero = g.clustering_coefficient()
l_zero = g.average_path_length()
print c_zero, l_zero
f = open("plots/output.csv", "wb")
print 'p\tC\tL'
f.write('p,C(p)/C(0),L(p)/L(0)\n')
#begin rewiring to tease out small-world network characteristics
for log_exp in numpy.arange(-40, 1, 1): #incrementation scheme for logarithmic exponents
g = SmallWorldGraph(vertices)
g.add_regular_edges(k)
p = numpy.power(10, log_exp/10.0)
g.rewire(p)
print '%s\t%s\t%s' % (p, g.clustering_coefficient()/c_zero, g.average_path_length()/l_zero)
f.write('%s,%s,%s\n' % (p, g.clustering_coefficient()/c_zero, g.average_path_length()/l_zero))
f.close()
def makeGraph(n='52', k='5', p='0.1'):
#create n Vertices
n = int(n)
k = int(k)
p = float(p)
names = name_generator()
vs = [Vertex(names.next()) for c in range(n)]
# create a graph
g = SmallWorldGraph(vs, k, p)
start = clock()
g.char_length()
charLength1 = clock() - start
start = clock()
g.char_length2()
charLength2 = clock() - start
start = clock()
g.char_length3()
charLength3 = clock() - start
start = clock()
g.char_length4()
charLength4 = clock() - start
return charLength1, charLength2, charLength3, charLength4
def generateData(pStart, pMultiplier):
c0 = 0.75
x = []
y = []
while (pStart < 1):
names = name_generator()
vs = [Vertex(names.next()) for c in range(52)]
graph = SmallWorldGraph(vs, 5, pStart)
x.append(pStart)
y.append(graph.cluster_coef() / c0)
pStart *= pMultiplier
return [x, y]
def generateData(pStart, pMultiplier):
l0 = (52 / (2 * 5))
x = []
y = []
while (pStart < 1):
names = name_generator()
vs = [Vertex(names.next()) for c in range(52)]
graph = SmallWorldGraph(vs, 5, pStart)
x.append(pStart)
y.append(graph.char_length() / l0)
pStart *= pMultiplier
return [x, y]
def main(script, n='25', *args):
# create n Vertices
n = int(n)
labels = string.ascii_lowercase + string.ascii_uppercase
vs = [Node(c) for c in labels[:n]]
# create a graph and a layout
g = SmallWorldGraph(vs)
# g.add_random_edges(.2)
# g.add_all_edges()
g.add_regular_edges(4)
g.rewire(.20)
layout = CircleLayout(g)
# draw the graph
gw = GraphWorld()
gw.show_graph(g, layout)
gw.mainloop()
