SNAP/p2p-Gnutella09
Gnutella peer to peer network from August 9 2002
| Name | p2p-Gnutella09 | 
| Group | SNAP | 
| Matrix ID | 2312 | 
| Num Rows | 8,114 | 
| Num Cols | 8,114 | 
| Nonzeros | 26,013 | 
| Pattern Entries | 26,013 | 
| 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 | 5,491 | 
| Num Explicit Zeros | 0 | 
| Pattern Symmetry | 0% | 
| Numeric Symmetry | 0% | 
| Cholesky Candidate | no | 
| Positive Definite | no | 
| Type | binary | 
 
| SVD Statistics | 
| Matrix Norm | 2.486539e+01 | 
| Minimum Singular Value | 0 | 
| Condition Number | Inf | 
| Rank | 2,759 | 
| sprank(A)-rank(A) |  | 
| Null Space Dimension | 5,355 | 
| Full Numerical Rank? | no | 
| Download Singular Values | MATLAB | 
 
 
| Download | MATLAB
Rutherford Boeing
Matrix Market | 
| 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 9 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   8114                                                                  
Edges   26013                                                                 
Nodes in largest WCC    8104 (0.999)                                          
Edges in largest WCC    26008 (1.000)                                         
Nodes in largest SCC    2624 (0.323)                                          
Edges in largest SCC    10776 (0.414)                                         
Average clustering coefficient  0.0137                                        
Number of triangles     2354                                                  
Fraction of closed triangles    0.01717                                       
Diameter (longest shortest path)    9                                         
90-percentile effective diameter    5.6                                       
                                                                              
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-Gnutella09.txt.gz   Directed Gnutella P2P network from August 9 2002 |