SNAP/p2p-Gnutella05

Gnutella peer to peer network from August 5 2002
Name p2p-Gnutella05
Group SNAP
Matrix ID 2309
Num Rows 8,846
Num Cols 8,846
Nonzeros 31,839
Pattern Entries 31,839
Kind Directed Graph
Symmetric No
Date 2002
Author M. Ripeanu and I. Foster and A. Iamnitchi
Editor J. Leskovec
Structural Rank
Structural Rank Full
Num Dmperm Blocks
Strongly Connect Components 5,613
Num Explicit Zeros 0
Pattern Symmetry 0%
Numeric Symmetry 0%
Cholesky Candidate no
Positive Definite no
Type binary
SVD Statistics
Matrix Norm 2.142046e+01
Minimum Singular Value 0
Condition Number Inf
Rank 3,734
sprank(A)-rank(A)
Null Space Dimension 5,112
Full Numerical Rank? no
Download Singular Values MATLAB
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Notes
Networks from SNAP (Stanford Network Analysis Platform) Network Data Sets,    
Jure Leskovec http://snap.stanford.edu/data/index.html                        
email jure at cs.stanford.edu                                                 
                                                                              
Gnutella peer-to-peer network, August 5 2002                                  
                                                                              
Dataset information                                                           
                                                                              
A sequence of snapshots of the Gnutella peer-to-peer file sharing network from
August 2002. There are total of 9 snapshots of Gnutella network collected in  
August 2002. Nodes represent hosts in the Gnutella network topology and edges 
represent connections between the Gnutella hosts.                             
                                                                              
Dataset statistics                                                            
Nodes   8846                                                                  
Edges   31839                                                                 
Nodes in largest WCC    8842 (1.000)                                          
Edges in largest WCC    31837 (1.000)                                         
Nodes in largest SCC    3234 (0.366)                                          
Edges in largest SCC    13453 (0.423)                                         
Average clustering coefficient  0.0093                                        
Number of triangles     1112                                                  
Fraction of closed triangles    0.007598                                      
Diameter (longest shortest path)    9                                         
90-percentile effective diameter    5.3                                       
                                                                              
Source (citation)                                                             
                                                                              
J. Leskovec, J. Kleinberg and C. Faloutsos. Graph Evolution: Densification and
Shrinking Diameters. ACM Transactions on Knowledge Discovery from Data (ACM   
TKDD), 1(1), 2007.                                                            
                                                                              
M. Ripeanu and I. Foster and A. Iamnitchi. Mapping the Gnutella Network:      
Properties of Large-Scale Peer-to-Peer Systems and Implications for System    
Design. IEEE Internet Computing Journal, 2002.                                
                                                                              
Files                                                                         
File    Description                                                           
p2p-Gnutella05.txt.gz   Directed Gnutella P2P network from August 5 2002