Matrix: SNAP/p2p-Gnutella09

Description: Gnutella peer to peer network from August 9 2002

SNAP/p2p-Gnutella09 graph SNAP/p2p-Gnutella09 graph
(bipartite graph drawing) (graph drawing of A+A')


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  • download as a MATLAB mat-file, file size: 63 KB. Use UFget(2312) or UFget('SNAP/p2p-Gnutella09') in MATLAB.
  • download in Matrix Market format, file size: 83 KB.
  • download in Rutherford/Boeing format, file size: 70 KB.

    Matrix properties
    number of rows8,114
    number of columns8,114
    # strongly connected comp.5,491
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorM. Ripeanu and I. Foster and A. Iamnitchi
    editorJ. Leskovec
    kinddirected graph
    2D/3D problem?no


    Networks from SNAP (Stanford Network Analysis Platform) Network Data Sets,    
    Jure Leskovec                        
    email jure at                                                 
    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.                                
    File    Description                                                           
    p2p-Gnutella09.txt.gz   Directed Gnutella P2P network from August 9 2002      

    SVD-based statistics:
    null space dimension5,355
    full numerical rank?no
    singular value gap5.50622e+12

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    SNAP/p2p-Gnutella09 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.