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Copy pathapprox.py
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168 lines (157 loc) · 4.67 KB
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from operator import itemgetter
import math
def graphConv(filename):
graph = {}
size = 0
with open(filename, 'r') as file:
for line in file:
contents = line.split()
if contents[0] == 'p':
size = int(contents[2])
break
for i in range(1, size + 1):
graph[i] = []
with open(filename, 'r') as file:
for line in file:
edge = line.split()
if edge[0] == 'e':
e1 = int(edge[1])
e2 = int(edge[2])
graph[e1].append(e2)
graph[e2].append(e1)
return graph
def makeGraphCopy(graph):
copy = {}
for key in graph.keys():
temp = []
for n in graph[key]:
temp.append(n)
copy[key] = temp
return copy
def closedNeighborhood(node, graph):
antiNeigh = []
for key in graph.keys():
if key not in graph[node]:
antiNeigh.append(key)
for anti in antiNeigh:
neighbors = graph[anti]
for n in neighbors:
graph[n].remove(anti)
graph.pop(anti, None)
return graph
def kLog(graph):
initDense = 0.898452
densities = []
for key in graph.keys():
temp = makeGraphCopy(graph)
closed = closedNeighborhood(key, temp)
avg = 0.0
size = float(len(closed.keys()))
for node in temp.keys():
avg += float(len(temp[node]))/size
avg /= size
log = 1 + int(math.log((1.0/(size)), avg))
densities.append((key,log, size))
densities = sorted(densities, key=itemgetter(1))
return densities
def nonNeigh(originNode, graph):
unneighbors = []
neighborhood = graph[originNode]
for key in graph.keys():
if key != originNode:
if key not in neighborhood:
unneighbors.append(key)
return unneighbors
def minDegree(graph):
min = 125
for key in graph.keys():
if len(graph[key]) < min:
min = len(graph[key])
print(min)
return min
def maxDegree(graph):
max = 0
for key in graph.keys():
if len(graph[key]) > max:
max = len(graph[key])
print(max)
return max
def sumDegree(graph):
sum = 0.0
size = len(graph.keys())
for key in graph.keys():
sum += len(graph[key])
sum = sum/2
return sum/(size*(size-1)/2)
def avgDegree(graph):
sumAvg = 0.0
for key in graph.keys():
sumAvg += len(graph[key])/125.0
sumAvg /= 125.0
print(sumAvg)
def medianDeg(graph):
degrees = []
'''for key in graph.keys():
degrees.append(len(graph[key])/float(len(graph.keys())))
degrees = sorted(degrees)'''
#print((degrees[62] + degrees[61])/2.0)
for key in graph.keys():
degrees.append((key, len(graph[key])/float(len(graph.keys()))))
degrees = sorted(degrees, key=itemgetter(1))
for d in degrees:
print(d)
graph = graphConv("c125.txt")
medianDeg(graph)
#sumDegree(graph)
#closed = closedNeighborhood(36, graph)
#print(kLog(closed))
#print(kLog(graph))
'''
def initEdgeDensities(graph):
densities = {}
for key in graph.keys():
temp = makeGraphCopy(graph)
closed = closedNeighborhood(key, temp)
avg = 0.0
size = float(len(closed.keys()))
for node in temp.keys():
avg += float(len(temp[node]))/size
avg /= size
densities[key] = avg
return densities
def metaED(graph, iterations):
densities = initEdgeDensities(graph)
antiNeighbors = {}
for key in graph.keys():
antiNeighbors[key] = nonNeigh(key, graph)
for i in range(iterations):
for key in graph.keys():
antiN = antiNeighbors[key]
avg = densities[key]
for n in antiN:
avg += densities[n]
avg /= float(len(antiN)+1)
densities[key] = avg
return densities
def convDictToListAscending(dic):
lis = []
for key in dic.keys():
lis.append((key, dic[key]))
return sorted(lis, key=itemgetter(1))
def convDictToListDescending(dic):
lis = []
for key in dic.keys():
lis.append((key, dic[key]))
return sorted(lis, key=itemgetter(1), reverse=True)
'''
#dense = metaED(graph, 100)
#asc = convDictToListAscending(dense)
#for item in asc:
# print(item)
#print("\n")
#desc = convDictToListAscending(dense)
#for item in desc:
# print(item)
#[36, 83, 108, 76, 51, 90, 64, 15, 95, 68, 42, 97, 88, 16, 94, 75, 102, 55, 27, 33, 43, 112, 87, 56, 100, 21, 73, 121, 107, 105, 3, 14]
#[113, 61, 109, 50, 124, 84, 72, 32, 37, 4, 57, 78, 20, 116, 28, 12, 53, 120, 106, 65, 98, 46, 115, 23, 62, 30, 118, 74, 52, 39, 111, 6]
#[58, 103, 91, 89, 38, 86, 63, 81, 119, 10, 49, 92, 26]