def gen_data():
graph = snap.GenRndGnm(snap.PNGraph, 300, 2400, True)
snap.SaveEdgeList(graph, "../data/Erdos-Renyi.txt")
graph = snap.GenPrefAttach(300, 8)
snap.SaveEdgeList(graph, "../data/PrefAttach.txt")
graph = snap.GenRndPowerLaw(300, 1.2)
snap.SaveEdgeList(graph, "../data/power-law.txt")
def generate_graph(NNodes, NEdges, Model, Rnd):
Graph = None
if Model == 'rand_ungraph':
# GnRndGnm returns error, so manually generate
Graph = snap.GenRndGnm_PUNGraph(NNodes, NEdges, 0)
elif Model == 'rand_ngraph':
Graph = snap.GenRndGnm_PNGraph(NNodes, NEdges, 1)
elif Model == 'rand_neagraph':
Graph = snap.GenRndGnm_PNEANet(NNodes, NEdges, 1)
elif Model == 'syn_neagraph':
Graph = snap.GenSyntheticGraph_PNEANet(NNodes, NEdges/NNodes,
SYNTHETIC_DELTA)
elif Model == 'syn_ngraph':
Graph = snap.GenSyntheticGraph_PNGraph(NNodes, NEdges/NNodes,
SYNTHETIC_DELTA)
elif Model == 'rmat':
Graph = snap.GenRMat(NNodes, NEdges, 0.40, 0.25, 0.2, Rnd)
elif Model == 'sw':
Graph = snap.GenSmallWorld(NNodes, NNodes/NEdges, 0.1)
elif Model == 'pref':
Graph = snap.GenPrefAttach(NNodes, NNodes/NEdges)
else:
print "Unknown model: %s" % Model
sys.exit(1)
return Graph
def main():
RANDOM_SEED = 23
SYNTHETIC_NW_NODES = 4846609 # How many nodes in the fake networks.
SYNTHETIC_NW_EDGES = 42851237 # How many nodes in the fake networks.
SYNTHETIC_NW_AVG_DEGREE = int(SYNTHETIC_NW_EDGES / SYNTHETIC_NW_NODES)
random.seed(RANDOM_SEED)
print "Generating preferential attachment graph..."
tRnd = snap.TRnd()
tRnd.PutSeed(RANDOM_SEED) # Re-seed every time.
PAGraph = snap.GenPrefAttach(SYNTHETIC_NW_NODES, SYNTHETIC_NW_AVG_DEGREE, tRnd)
filename = 'PrefAttachSynthetic-4.8M.txt'
print "Saving edge list to file: %s" % filename
snap.SaveEdgeList(PAGraph, filename, 'Synthetic preferential attachment graph')
print "Generating random graph..."
tRnd.PutSeed(RANDOM_SEED) # Re-seed every time.
RndGraph = snap.GenRndGnm(snap.PUNGraph, SYNTHETIC_NW_NODES, SYNTHETIC_NW_EDGES, False, tRnd)
filename = 'GnmRandomGraph-4.8M.txt'
print "Saving edge list to file: %s" % filename
snap.SaveEdgeList(RndGraph, filename, 'Random Gnm graph')
print "Generating small world graph..."
tRnd.PutSeed(RANDOM_SEED) # Re-seed every time.
SWGraph = snap.GenSmallWorld(SYNTHETIC_NW_NODES, SYNTHETIC_NW_AVG_DEGREE, 0.1, tRnd)
filename = 'SmallWorldGraph-4.8M.txt'
print "Saving edge list to file: %s" % filename
snap.SaveEdgeList(RndGraph, filename, 'Small world graph with rewire prob=0.1')
print "Done"
sys.exit(0)
def generate_graph(NNodes, NEdges, Model, Type, Rnd):
if Model == 'rand_ungraph':
# GnRndGnm returns error, so manually generate
Graph = snap.GenRndGnm_PUNGraph(NNodes, NEdges, 0)
elif Model == 'rand_ngraph':
Graph = snap.GenRndGnm_PNGraph(NNodes, NEdges, 1)
elif Model == 'rand_neanet':
Graph = snap.GenRndGnm(NNodes, NEdges, 1)
elif Model == 'syn_neanet':
Graph = snap.GenSyntheticGraph(NNodes, NEdges / NNodes,
SYNTHETIC_DELTA)
elif Model == 'syn_ngraph':
Graph = snap.GenSyntheticGraph_PNGraph(NNodes, NEdges / NNodes,
SYNTHETIC_DELTA)
elif Model == 'rmat':
Graph = snap.GenRMat(NNodes, NEdges, 0.40, 0.25, 0.2, Rnd)
elif Model == 'sw':
Graph = snap.GenSmallWorld(NNodes, NNodes / NEdges, 0.1)
elif Model == 'pref':
Graph = snap.GenPrefAttach(NNodes, NNodes / NEdges)
return Graph
def preferential_attachment():
GUn = transform_directed_to_undirected()
AverageDegree = average_degree()
Rnd = snap.TRnd()
GPA = snap.GenPrefAttach(GUn.GetNodes(), int(AverageDegree), Rnd)
snap.PrintInfo(GPA, "Tweets PA Stats", "Tweets_PA-info.txt", False)
f = open('Tweets_PA-info.txt', 'r')
file_contents = f.read()
print(file_contents)
f.close()
def gen_ba(args):
"""Generate a BA Graph"""
for i in range(args.num_graphs):
out_deg = int(np.random.uniform(2, 6))
Rnd = snap.TRnd()
Graph = snap.GenPrefAttach(args.num_vertices, out_deg, Rnd)
snap.SaveEdgeList(Graph, f'{args.data_loc}/BA/BA_{i}.edges')
print(f"BA Graph {i} Generated and Saved")
def testExactEdgeCentrality():
testG = snap.GenPrefAttach(NUM_NODES, OUT_DEGREE, Rnd)
centrality = ExactEdgeCentrality(testG)
unusedNodes = snap.TIntFltH()
expectedCentrality = snap.TIntPrFltH()
snap.GetBetweennessCentr(testG, unusedNodes, expectedCentrality, 1.0)
for key in expectedCentrality:
(v, w) = key.GetVal1(), key.GetVal2()
expected = expectedCentrality[key]
if abs(centrality[(v, w)] - expected) >= 1e-8:
print centrality[(v, w)], expected
assert abs(centrality[(v, w)] - expected) < 1e-8
def generate_graphs():
for path in GRAPHS:
name = path.split('/')[-1].split('.')[0]
metrics = Metrics(path, True).calculate_basic()
print metrics
# Generate Erdos-Renyi (Random) Graph
# args: type, num_nodes, num_edges
er = snap.GenRndGnm(snap.PNGraph, metrics.num_nodes, metrics.num_edges)
snap.SaveEdgeList(er, "{}_er.elist".format(name))
# Generate Watts-Strogatz (Small World) Graph
# args: num_nodes, node_out_degree (average out degree will be twice this value, rewire_prob)
ws = snap.GenSmallWorld(metrics.num_nodes,
int(metrics.avg_degree) / 2, 0.2)
snap.SaveEdgeList(ws, "{}_ws.elist".format(name))
# Generate Barabasi-Albert model (scale-free with preferential attachment) Graph
# args: (num_nodes, degree of each node desired)
ba = snap.GenPrefAttach(metrics.num_nodes, int(metrics.avg_degree) / 2)
snap.SaveEdgeList(ba, "{}_ba.elist".format(name))
# Generate Forest Fire model Graph
# args: (num_nodes, forward_prob, backward_prob)
if name == "USairport_2010":
ff = snap.GenForestFire(
metrics.num_nodes, 0.3599,
0.3599) # Selected value for US Airports data-set
snap.SaveEdgeList(ff, "{}_ff.elist".format(name))
ff = snap.GenForestFire(int(metrics.num_nodes / 10), 0.3599,
0.3599)
snap.SaveEdgeList(ff, "{}_ffdiv10.elist".format(name))
ff = snap.GenForestFire(metrics.num_nodes * 10, 0.3599, 0.3599)
snap.SaveEdgeList(ff, "{}_ffx10.elist".format(name))
else:
ff = snap.GenForestFire(metrics.num_nodes, 0.3467,
0.3467) # selected
snap.SaveEdgeList(ff, "{}_ff.elist".format(name))
ff = snap.GenForestFire(int(metrics.num_nodes / 10), 0.3467,
0.3467)
snap.SaveEdgeList(ff, "{}_ffdiv10.elist".format(name))
ff = snap.GenForestFire(metrics.num_nodes * 10, 0.3467, 0.3467)
snap.SaveEdgeList(ff, "{}_ffx10.elist".format(name))
def testApproxEdgeCentrality():
testG = snap.GenPrefAttach(NUM_NODES, OUT_DEGREE, Rnd)
centrality = ApproxEdgeCentrality(
testG, testG.GetNodes() / 10, 5 * testG.GetNodes())
unusedNodes = snap.TIntFltH()
expectedCentrality = snap.TIntPrFltH()
snap.GetBetweennessCentr(testG, unusedNodes, expectedCentrality, 1.0)
errorSum = 0.0
for key in expectedCentrality:
(v, w) = key.GetVal1(), key.GetVal2()
expected = expectedCentrality[key]
errorSum += (centrality[(v, w)] - expected)**2
print errorSum
print np.sqrt(errorSum / len(expectedCentrality))
def base_graph(self):
G = None
if self.graph_type == 'star':
G = snap.GenStar(snap.PUNGraph, self.nnodes, False)
elif self.graph_type == 'full':
G = snap.GenFull(snap.PUNGraph, self.nnodes)
elif self.graph_type == 'circle':
G = snap.GenCircle(snap.PUNGraph, self.nnodes, False)
elif self.graph_type == 'tree':
G = snap.GenTree(snap.PUNGraph, Fanout=2, Levels=10, IsDir=False)
elif self.graph_type == 'erdos-renyi' or self.graph_type == 'er':
G = snap.GenRndGnm(snap.PUNGraph, self.nnodes, self.nnodes * 5,
False)
elif self.graph_type == 'barabasi-albert' or self.graph_type == 'ba':
G = snap.GenPrefAttach(self.nnodes, 10)
else:
print "> Defaulting to full mode"
G = snap.GenFull(snap.PUNGraph, self.nnodes)
return G
def getGraph(p,d):
# construct a graph from scale free distribution
# paper: The joint graphical lasso for inverse covarianceestimation across multiple classes
# reference: https://rss.onlinelibrary.wiley.com/doi/epdf/10.1111/rssb.12033
# p: number of nodes
# d: out degree of each node
Rnd = snap.TRnd(10)
UGraph = snap.GenPrefAttach(p, d, Rnd)
S = np.zeros((p,p))
for EI in UGraph.Edges():
# generate a random number in (-0.4, -0.1)U(0.1,0.4)
# method: https://stats.stackexchange.com/questions/270856/how-to-randomly-generate-random-numbers-in-one-of-two-intervals
r = np.random.uniform(0, 0.6)
S[EI.GetSrcNId(), EI.GetDstNId()] = r-0.4 if r < 0.3 else r-0.2 # assign values to edges
S0 = S.copy()
# orginal half graph without standardizing it into a PD matrix
S = S + S.T
S = S/(1.5*np.sum(np.absolute(S), axis = 1)[:,None])
A = (S + S.T)/2 + np.matrix(np.eye(p))
# check if A is PD
print(np.all(alg.eigvals(A) > 0))
return S0, A
def __init__(self, beta, delta, graphType, rewireProbInput, numNodes,
scalingFactor):
self.graphType = graphType
self.numNodes = numNodes
# initialize snap.py graph: self.G
# for degree, use reproductive number 1.5 = degree * beta: on avg, ebola patient should infect 1.5 other people
# nodeDeg = math.ceil((1.5 / beta) / scalingFactor)
nodeDeg = math.ceil(
10.0 /
scalingFactor) # most real world graphs have node degree 2~15
if graphType == 'small world':
rewireProb = rewireProbInput # probability that an edge will be rewired in Watts-Strogatz model
self.G = snap.GenSmallWorld(
numNodes, int(nodeDeg / 2),
rewireProb) # for snap function, must divide degree by 2
elif graphType == 'random':
numEdges = numNodes * nodeDeg / 2
self.G = snap.GenRndGnm(snap.PUNGraph, numNodes, numEdges)
elif graphType == 'complete':
self.G = snap.GenFull(snap.PUNGraph, numNodes)
elif graphType == 'scale free':
self.G = snap.GenPrefAttach(numNodes, nodeDeg)
else:
raise NotImplementedError(
"graphType argument must be in {'random', 'small world', 'complete', 'scale free}"
)
# initialize variables for SIR model
self.beta, self.delta = beta, delta
self.state = dict.fromkeys(
xrange(numNodes), SUSCEPTIBLE
) # dict: int nodeID => string SUSCEPTIBLE or INFECTED or RECOVERED
self.countyHasBeenInfected = False
def generate_graph(NNodes, NEdges, Model, Type, Rnd):
if Model == 'rand_ungraph':
# GnRndGnm returns error, so manually generate
#Graph = snap.GenRndGnm_PUNGraph(NNodes, NEdges, 0)
Graph = snap.GenRndGnm(snap.PUNGraph, NNodes, NEdges, 0)
elif Model == 'rand_ngraph':
#Graph = snap.GenRndGnm_PNGraph(NNodes, NEdges, 1)
Graph = snap.GenRndGnm(snap.PNGraph, NNodes, NEdges, 1)
elif Model == 'rand_neanet':
print "1", NNodes, NEdges
#Graph = snap.GenRndGnm_PNEANet(NNodes, NEdges, 1)
Graph = snap.GenRndGnm(snap.PNEANet, NNodes, NEdges, 1)
print "2"
print "3", Graph.GetNodes(), Graph.GetEdges()
elif Model == 'syn_neanet':
Graph = snap.GenSyntheticGraph(NNodes, NEdges / NNodes,
SYNTHETIC_DELTA)
elif Model == 'syn_ngraph':
Graph = snap.GenSyntheticGraph_PNGraph(NNodes, NEdges / NNodes,
SYNTHETIC_DELTA)
elif Model == 'rmat':
Graph = snap.GenRMat(NNodes, NEdges, 0.40, 0.25, 0.2, Rnd)
elif Model == 'sw':
Graph = snap.GenSmallWorld(NNodes, NNodes / NEdges, 0.1)
elif Model == 'pref':
Graph = snap.GenPrefAttach(NNodes, NNodes / NEdges)
return Graph
def SimpleNetworkGenerator(self, params):
#print params
Rnd = snap.TRnd(1, 0)
G = None
try:
if params[0] == GlobalParameters.NetworkType[0]:
G = snap.GenSmallWorld(int(params[1]), int(params[2]),
float(params[3]), Rnd)
if params[0] == GlobalParameters.NetworkType[1]:
G = snap.GenPrefAttach(int(params[1]), int(params[2]), Rnd)
if params[0] == GlobalParameters.NetworkType[2]:
G = snap.GenForestFire(int(params[1]), float(params[2]),
float(params[3]))
if params[0] == GlobalParameters.NetworkType[3]:
G = snap.GenRndGnm(snap.PUNGraph, int(params[1]),
int(params[2]), False, Rnd)
if params[0] == GlobalParameters.NetworkType[4]:
G = snap.GenCircle(snap.PUNGraph, int(params[1]),
int(params[2]), False)
if params[0] == GlobalParameters.NetworkType[5]:
G = snap.GenFull(snap.PUNGraph, int(params[1]))
return G
except:
return None
def Q2():
prefAttachmentGraph = snap.GenPrefAttach(NUM_NODES, OUT_DEGREE, Rnd)
N = prefAttachmentGraph.GetNodes()
global exactEdgeCentrality, approxEdgeCentrality
exactEdgeCentrality = ExactEdgeCentrality(prefAttachmentGraph)
approxEdgeCentrality = ApproxEdgeCentrality(
prefAttachmentGraph, N / 10, 5 * N)
assert len(exactEdgeCentrality) == len(approxEdgeCentrality)
Y1 = sorted(exactEdgeCentrality.values(), reverse=True)
Y2 = sorted(approxEdgeCentrality.values(), reverse=True)
X = range(len(Y1))
plt.close()
plt.title("Exact and Approximate Betweeness Centrality Ordering")
plt.xlabel("x-th largest edge")
plt.ylabel("Calculated betweeness centrality")
plt.semilogy(X, Y1)
plt.semilogy(X, Y2)
plt.legend(["Exact Algorithm", "Approximate Algorithm"])
if not os.path.exists("output"):
os.mkdir("output")
plt.savefig("output/2", dpi=500)
plt.show()
delta[vw] = sigma[v] * 1.0 / sigma[w] * delta[vw]
if type == 1:
B[vw] = B[vw] + delta[vw]
else:
if B[vw] <= c * G.GetNodes():
B[vw] = B[vw] + delta[vw]
k[vw] = k[vw] + 1
# Simulation
n = 1000
c = 5
Rnd = snap.TRnd()
G = snap.GenPrefAttach(n, 4, Rnd)
B1 = {} # Betweenness Centrality for algorithm 1
B2 = {} # Betweenness Centrality for algorithm 2
k = {} # Number of samples for each edge
edges = []
for edge in G.Edges():
edges.append((edge.GetSrcNId(), edge.GetDstNId()))
for i in xrange(len(edges)):
B1[edges[i]] = 0
B2[edges[i]] = 0
k[edges[i]] = 0
# compute betweenness centrality for algorithm 1 - exact betweenness centrality
for sNode in G.Nodes():
ComputeBetweennessCentrality(G, sNode, B1, 1, k)
### LOAD GRAPH ###
graph = snap.LoadEdgeList(snap.PUNGraph,
target_graph + "/" + target_graph + ".txt", 0, 1,
' ')
nodes = graph.GetNodes()
edges = graph.GetEdges()
InDegV = snap.TIntPrV()
snap.GetNodeInDegV(graph, InDegV)
sum_deg = 0
for item in InDegV:
sum_deg += item.GetVal2()
avg_deg = sum_deg / nodes
### BASIC CHECKS OF GRAPHS ###
print("Nodes: ", graph.GetNodes())
print("Edges: ", graph.GetEdges())
### Draw graph temporarily ###
# snap.DrawGViz(graph, snap.gvlNeato, target_graph + ".png", target_graph, False)
### Structural Properties of Graph ###
SCC = snap.GetMxScc(graph)
print("SCC Nodes: ", SCC.GetNodes())
print("SCC Edges: ", SCC.GetEdges())
### PREFERENTIAL ATTACHMENT ###
Rnd = snap.TRnd()
UGraph = snap.GenPrefAttach(nodes, int(avg_deg), Rnd)
snap.DrawGViz(UGraph, snap.gvlDot, "pref.png", "Pref Graph", False)
def fitPA():
for gname in GraphNames:
G = snap.LoadEdgeList(snap.PUNGraph, 'data/rep/' + gname + '.txt')
G1 = snap.GenPrefAttach(
G.GetNodes(), int(math.ceil(1.0 * G.GetEdges() / G.GetNodes())))
snap.SaveEdgeList(G1, '/Users/qv/cs224w/fit/' + gname + '-PA' + '.txt')
print "G9: Nodes %d, Edges %d" % (G9.GetNodes(), G9.GetEdges())
# define a vector of pairs of integers (size, count) and
# get a distribution of connected components (component size, count)
CntV = snap.TIntPrV()
snap.GetWccSzCnt(G9, CntV)
for p in CntV:
print "size %d: count %d" % (p.GetVal1(), p.GetVal2())
# get degree distribution pairs (out-degree, count):
snap.GetOutDegCnt(G9, CntV)
for p in CntV:
print "degree %d: count %d" % (p.GetVal1(), p.GetVal2())
# generate a Preferential Attachment graph on 100 nodes and out-degree of 3
G10 = snap.GenPrefAttach(100, 3)
print "G10: Nodes %d, Edges %d" % (G10.GetNodes(), G10.GetEdges())
# define a vector of floats and get first eigenvector of graph adjacency matrix
EigV = snap.TFltV()
snap.GetEigVec(G10, EigV)
nr = 0
for f in EigV:
nr += 1
print "%d: %.6f" % (nr, f)
# get an approximation of graph diameter
diam = snap.GetBfsFullDiam(G10, 10)
print "diam", diam
# count the number of triads:
def intro():
# create a graph PNGraph
G1 = snap.TNGraph.New()
G1.AddNode(1)
G1.AddNode(5)
G1.AddNode(32)
G1.AddEdge(1, 5)
G1.AddEdge(5, 1)
G1.AddEdge(5, 32)
print("G1: Nodes %d, Edges %d" % (G1.GetNodes(), G1.GetEdges()))
# create a directed random graph on 100 nodes and 1k edges
G2 = snap.GenRndGnm(snap.PNGraph, 100, 1000)
print("G2: Nodes %d, Edges %d" % (G2.GetNodes(), G2.GetEdges()))
# traverse the nodes
for NI in G2.Nodes():
print("node id %d with out-degree %d and in-degree %d" %
(NI.GetId(), NI.GetOutDeg(), NI.GetInDeg()))
# traverse the edges
for EI in G2.Edges():
print("edge (%d, %d)" % (EI.GetSrcNId(), EI.GetDstNId()))
# traverse the edges by nodes
for NI in G2.Nodes():
for Id in NI.GetOutEdges():
print("edge (%d %d)" % (NI.GetId(), Id))
# generate a network using Forest Fire model
G3 = snap.GenForestFire(1000, 0.35, 0.35)
print("G3: Nodes %d, Edges %d" % (G3.GetNodes(), G3.GetEdges()))
# save and load binary
FOut = snap.TFOut("test.graph")
G3.Save(FOut)
FOut.Flush()
FIn = snap.TFIn("test.graph")
G4 = snap.TNGraph.Load(FIn)
print("G4: Nodes %d, Edges %d" % (G4.GetNodes(), G4.GetEdges()))
# save and load from a text file
snap.SaveEdgeList(G4, "test.txt", "Save as tab-separated list of edges")
G5 = snap.LoadEdgeList(snap.PNGraph, "test.txt", 0, 1)
print("G5: Nodes %d, Edges %d" % (G5.GetNodes(), G5.GetEdges()))
# generate a network using Forest Fire model
G6 = snap.GenForestFire(1000, 0.35, 0.35)
print("G6: Nodes %d, Edges %d" % (G6.GetNodes(), G6.GetEdges()))
# convert to undirected graph
G7 = snap.ConvertGraph(snap.PUNGraph, G6)
print("G7: Nodes %d, Edges %d" % (G7.GetNodes(), G7.GetEdges()))
# get largest weakly connected component of G
WccG = snap.GetMxWcc(G6)
# get a subgraph induced on nodes {0,1,2,3,4,5}
SubG = snap.GetSubGraph(G6, snap.TIntV.GetV(0, 1, 2, 3, 4))
# get 3-core of G
Core3 = snap.GetKCore(G6, 3)
# delete nodes of out degree 10 and in degree 5
snap.DelDegKNodes(G6, 10, 5)
print("G6a: Nodes %d, Edges %d" % (G6.GetNodes(), G6.GetEdges()))
# generate a Preferential Attachment graph on 1000 nodes and node out degree of 3
G8 = snap.GenPrefAttach(1000, 3)
print("G8: Nodes %d, Edges %d" % (G8.GetNodes(), G8.GetEdges()))
# vector of pairs of integers (size, count)
CntV = snap.TIntPrV()
# get distribution of connected components (component size, count)
snap.GetWccSzCnt(G8, CntV)
# get degree distribution pairs (degree, count)
snap.GetOutDegCnt(G8, CntV)
# vector of floats
EigV = snap.TFltV()
# get first eigenvector of graph adjacency matrix
snap.GetEigVec(G8, EigV)
# get diameter of G8
snap.GetBfsFullDiam(G8, 100)
# count the number of triads in G8, get the clustering coefficient of G8
snap.GetTriads(G8)
snap.GetClustCf(G8)
def generate_graph(n_nodes=50, out_degree=None, seed=1):
"""
This method generates a Graph based on the Barabasi Algorithm and computes several metrics:
1) It finds the Node with the maximum Degree.
2) It finds the Node with the maximum PageRank Score.
3) Calculates communities within the graph by using two different algorithms:
a) Girvan - Newman community Detection
b) Clauset-Newman-Moore community Detection.
:param n_nodes: int. Specifies the number of nodes for the graph to be created.
:param out_degree: int. Specifies the outer degree for each node. If None, then a random integer is generated
between 5 and 20.
:param seed: Int. An integer that is used to generate the same 'random' integer for the out degree.
:return: Boolean. Whether the execution time of the specific community detection algorithms is over 10 minutes.
"""
if out_degree is None:
random.seed(seed)
out_degree = random.randint(5, 20)
print
print "Generating Graph with %s Nodes of Out Degree: %s " % (n_nodes,
out_degree)
# Generating a random graph based on the Barabasi Algorithm.
barabasi_graph = snap.GenPrefAttach(n_nodes, out_degree)
# Finding the node ID with the maximoun Degree.
maximum_degree_node = snap.GetMxDegNId(barabasi_graph)
# Iterating in the graph nodes in order to find the Maximum degree for this particular node.
for NI in barabasi_graph.Nodes():
if NI.GetId() == maximum_degree_node:
print "Node: %d, Maximum Degree %d" % (NI.GetId(), NI.GetDeg())
# Computing the PageRank score of every node in Graph
# Setting the ID and the PageRank score to -1. (minimum of both of these is 0)
page_rank_id, page_rank_score = -1, -1
# Creating the iterator for the PageRank algorithm.
PRankH = snap.TIntFltH()
# Calculating the PageRank for every Node.
snap.GetPageRank(barabasi_graph, PRankH)
# By iterating on each node we find the Node with the maximum PageRank Score.
for node in PRankH:
if PRankH[node] > page_rank_score:
page_rank_score = PRankH[node]
page_rank_id = node
print
print "Node with the Highest PageRank value: "
print "Node: %s, PageRank value %s " % (page_rank_id, page_rank_score)
print
try:
start_Girvan_Newman = time.time(
) # setting the timer for the first community detection algorithm.
# Calculating Girvan - Newman community Detection Algorithm
CmtyV = snap.TCnComV()
snap.CommunityGirvanNewman(barabasi_graph, CmtyV)
print 'Girvan-Newman community Detection Algorithm: Execution Time: ', time.time(
) - start_Girvan_Newman
# Calculating Girvan-Newman community Detection Algorithm
start_Clauset_Newman_Moore = time.time(
) # setting the timer for the second community detection algorithm.
CmtyV = snap.TCnComV()
snap.CommunityCNM(barabasi_graph, CmtyV)
print 'Clauset-Newman-Moore community Detection Algorithm: Execution Time: ', time.time(
) - start_Clauset_Newman_Moore
print '-' * 100
print '-' * 100
if time.time(
) - start_Girvan_Newman > 10 * 60: # if the total execution time for both algorithms is over 10
# minutes then return False in order to quit the loop that this method will be used in.
return False
return True
except MemoryError: # if we get a memory error during the Community Detection algorithms we set to False in order
# to avoid adding more Nodes when running this method in a while loop.
return False
with open(file, "r") as f:
for x in f:
edges += 1
print "nodes: %d, edges: %d" % (nodes, edges)
path = os.path.join(r"p3_data", filename[3:])
print "starting BA graph at time %s\n" % time.ctime()
edgeList = []
outDegree = 0
OutDegV = snap.TIntPrV()
snap.GetNodeOutDegV(inGraph, OutDegV)
#Sums the value of all out degrees of each node
for item in OutDegV:
outDegree += item.GetVal2()
# print "node ID %d: out-degree %d" % (item.GetVal1(), item.GetVal2())
# averages the out degree in OutDeg Vector, and rounds it to the nearest integar
avgOutDegree = round(outDegree / nodes)
# print avgOutDegree
Rnd = snap.TRnd()
barabasiAlbertGraph = snap.GenPrefAttach(nodes, int(avgOutDegree), Rnd)
for EI in barabasiAlbertGraph.Edges():
edgeList.append([EI.GetSrcNId(), EI.GetDstNId()])
with open(path, "w") as f:
for x in edgeList:
f.write('{0:4d} {1:9d}\n'.format(x[0], x[1]))
print "finished BA graph at time %s\n" % time.ctime()
def pref_attach(nodes, out_degree, rnd=None):
if rnd is None:
rnd = sp.TRnd()
else:
rnd = sp.TRnd(*rnd)
return sp.GenPrefAttach(nodes, out_degree, rnd)
def genScaleFreeBA(N=5000, k=2):
return snap.GenPrefAttach(N, k)
def run_ba_simulation(num_nodes, num_edges, alpha, zeta, *args, **kwargs):
r = snap.GenPrefAttach(num_nodes, num_edges, gen)
return run_simulation(r, alpha, zeta, *args, **kwargs)
nodes = int(sys.argv[1])
degree = int(sys.argv[2])
name = "test-%d-%d" % (nodes, degree)
txtname = name + ".txt"
adjname = name + "-adj" + ".txt"
binname = name + ".bin"
print("nodes", nodes)
print("degree", degree)
t = time.time()
t = printtime(t, "generating the graph")
G1 = snap.GenPrefAttach(nodes, degree)
print("G1 nodes", G1.GetNodes())
print("G1 edges", G1.GetEdges())
t = printtime(t, "saving the graph to edge list")
snap.SaveEdgeList(G1, txtname, "Save as tab-separated list of edges")
t = printtime(t, "reading the graph from edge list")
G2 = snap.LoadEdgeList(snap.PUNGraph, txtname, 0, 1)
print("G2 nodes", G2.GetNodes())
print("G2 edges", G2.GetEdges())
t = printtime(t, "saving the graph to adjacency list")
SaveConnList(G1, adjname)
t = printtime(t, "reading the graph from adjacency list")
with open("WSOutput.txt", 'w+') as fp:
header = str(WS_Nodes) + ',' + str(WS_Edges) + '\n'
fp.write(header)
timesteps = graphWS.values_at_each
for i in range(0, len(timesteps)):
line = str(timesteps[i][0]) + ',' + str(timesteps[i][1]) + ',' + str(
timesteps[i][2]) + ',' + str(timesteps[i][3]) + '\n'
fp.write(line)
print "Finished outputting\n"
BA_Nodes = 100000
BA_Edge = 10
#Single instance for WS graph.
gen.PutSeed(current_seed)
graphBA = Graph(alpha, zeta)
BA = snap.GenPrefAttach(BA_Nodes, BA_Edge, gen)
for it in BA.Edges():
graphBA.AddEdge(it.GetSrcNId(), it.GetDstNId())
#Choose random infected.
infected = random.randint(0, len(graphBA.verts))
graphBA.states[infected] = (0, 1, 0, 0)
print "BA graph:"
start = time.time()
graphBA.do_simulation(10000)
end = time.time()
print "Simulation took", (end - start)
print "Writing to output:"
with open("BAOutput.txt", 'w+') as fp:
header = str(BA_Nodes) + ',' + str(BA_Edge) + '\n'
fp.write(header)
for line in iter(fin):
ugraph.AddNode(int(line))
numnod += 1
node_list.append(int(line))
fin.close()
fin = open("An_Edges.txt", "rb")
for line in iter(fin):
ugraph.AddEdge(int(line.split(",", 1)[0]), int(line.split(",", 1)[1]))
numedg += 1
fin.close()
rand_grph = snap.GenRndGnm(snap.PUNGraph, numnod, numedg, False)
snap.PlotInDegDistr(rand_grph, "degDistRand", "degDistRand")
#rand_grph.GetBfsEffDiam(ugraph,1,False,)
clust = snap.GetClustCf(rand_grph)
print "C Coeff Rand" + str(clust)
pref_grph = snap.GenPrefAttach(numnod, 4)
snap.PlotInDegDistr(pref_grph, "degDistPref", "degDistPref")
clust = snap.GetClustCf(pref_grph)
print "C Coeff Pref" + str(clust)
prob = (float(numnod) / (numedg * (numedg - 1))) * 2
print prob
smal_grph = snap.GenSmallWorld(numnod, 4, prob)
snap.PlotInDegDistr(smal_grph, "degDistSmal", "degDistSmal")
clust = snap.GetClustCf(smal_grph)
print "C Coeff Small" + str(clust)
filenames = ["0301/{}.txt".format(i) for i in range(0, 4)]
data = Data(filenames)
graph = make_graph(data)
Graph = snap.ConvertGraph(snap.PUNGraph, graph)
save_graph_data(data, graph, "try")
data, graph = load_graph_data("try")
Graph = snap.ConvertGraph(snap.PUNGraph, graph)
GraphClustCoeff = snap.GetClustCf(Graph, -1)
print "Average clustering coefficient of the graph is ", GraphClustCoeff
for category in data.categories:
graph1 = make_graph(data, [category])
save_graph_data(data, graph1, "temp")
data, graph1 = load_graph_data("temp")
Graph1 = snap.ConvertGraph(snap.PUNGraph, graph1)
print category, Graph1.GetNodes(), Graph1.GetEdges()
GraphClustCoeff1 = snap.GetClustCf(Graph1, -1)
print "Average clustering coefficient of the " + category + " graph is ", GraphClustCoeff1
V = Graph.GetNodes()
E = Graph.GetEdges()
print V, E
Erdos = snap.GenRndGnm(snap.PNGraph, V, E)
print "Erdos CC", snap.GetClustCf(Erdos, -1)
Rnd = snap.TRnd()
UGraph = snap.GenPrefAttach(V, 20, Rnd)
print "Pref Attachment CC", snap.GetClustCf(UGraph, -1)
def Q2():
prefAttachmentGraph = snap.GenPrefAttach(NUM_NODES, OUT_DEGREE, Rnd)
N = prefAttachmentGraph.GetNodes()
global exactEdgeCentrality, approxEdgeCentrality
exactEdgeCentrality = ExactEdgeCentrality(prefAttachmentGraph)
approxEdgeCentrality = ApproxEdgeCentrality(
prefAttachmentGraph, N / 10, 5 * N)
assert len(exactEdgeCentrality) == len(approxEdgeCentrality)
Y1 = sorted(exactEdgeCentrality.values(), reverse=True)
Y2 = sorted(approxEdgeCentrality.values(), reverse=True)
X = range(len(Y1))
plt.close()
plt.title("Exact and Approximate Betweeness Centrality Ordering")
plt.xlabel("x-th largest edge")
plt.ylabel("Calculated betweeness centrality")
plt.semilogy(X, Y1)
plt.semilogy(X, Y2)
plt.legend(["Exact Algorithm", "Approximate Algorithm"])
if not os.path.exists("output"):
os.mkdir("output")
plt.savefig("output/2", dpi=500)
plt.show()
Q2()
testG = snap.GenPrefAttach(NUM_NODES, OUT_DEGREE, Rnd)
