Matrix: Arenas/PGPgiantcompo

Description: largest connected component in graph of PGP users

Arenas/PGPgiantcompo graph
(undirected graph drawing)


Arenas/PGPgiantcompo
Arenas/PGPgiantcompo graph

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  • Matrix group: Arenas
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  • download as a MATLAB mat-file, file size: 200 KB. Use UFget(2405) or UFget('Arenas/PGPgiantcompo') in MATLAB.
  • download in Matrix Market format, file size: 124 KB.
  • download in Rutherford/Boeing format, file size: 103 KB.

    Matrix properties
    number of rows10,680
    number of columns10,680
    nonzeros48,632
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typeinteger
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Boguna, R. Pastor-Satorras, A. Diaz-Guillera, A. Arenas
    editorA. Arenas
    date2004
    kindundirected multigraph
    2D/3D problem?no

    Additional fieldssize and type
    coordfull 10680-by-2

    Notes:

    Arenas set: PGP network                                          
    http://deim.urv.cat/~aarenas/data/welcome.htm                    
                                                                     
    Graph of the largest component of the network of users of the    
    Pretty-Good-Privacy algorithm for secure information interchange.
    Data compiled by members of Alex Arenas' group.                  
    Reference: M. Boguna, R. Pastor-Satorras, A.  Diaz-Guilera and   
    A. Arenas, Physical Review E, vol. 70, 056122 (2004).            
    

    SVD-based statistics:
    norm(A)42.5992
    min(svd(A))7.93597e-58
    cond(A)5.36787e+58
    rank(A)8,078
    null space dimension2,602
    full numerical rank?no
    singular value gap6.03273e+10

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

    Arenas/PGPgiantcompo 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.