Matrix: SNAP/p2p-Gnutella06

Description: Gnutella peer to peer network from August 6 2002

SNAP/p2p-Gnutella06 graph SNAP/p2p-Gnutella06 graph
(bipartite graph drawing) (graph drawing of A+A')


SNAP/p2p-Gnutella06

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  • Matrix group: SNAP
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  • download as a MATLAB mat-file, file size: 78 KB. Use UFget(2310) or UFget('SNAP/p2p-Gnutella06') in MATLAB.
  • download in Matrix Market format, file size: 102 KB.
  • download in Rutherford/Boeing format, file size: 84 KB.

    Matrix properties
    number of rows8,717
    number of columns8,717
    nonzeros31,525
    # strongly connected comp.5,492
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Ripeanu and I. Foster and A. Iamnitchi
    editorJ. Leskovec
    date2002
    kinddirected graph
    2D/3D problem?no

    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 6 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   8717                                                                  
    Edges   31525                                                                 
    Nodes in largest WCC    8717 (1.000)                                          
    Edges in largest WCC    31525 (1.000)                                         
    Nodes in largest SCC    3226 (0.370)                                          
    Edges in largest SCC    13589 (0.431)                                         
    Average clustering coefficient  0.0086                                        
    Number of triangles     1142                                                  
    Fraction of closed triangles    0.008108                                      
    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-Gnutella06.txt.gz   Directed Gnutella P2P network from August 6 2002      
    

    SVD-based statistics:
    norm(A)19.328
    min(svd(A))0
    cond(A)Inf
    rank(A)3,680
    null space dimension5,037
    full numerical rank?no
    singular value gap9.13173e+11

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

    SNAP/p2p-Gnutella06 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.