Matrix: Pajek/Erdos972

Description: Pajek network: Erdos collaboration network

Pajek/Erdos972 graph
(undirected graph drawing)


Pajek/Erdos972
scc of Pajek/Erdos972

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  • Matrix group: Pajek
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  • download as a MATLAB mat-file, file size: 91 KB. Use UFget(1466) or UFget('Pajek/Erdos972') in MATLAB.
  • download in Matrix Market format, file size: 62 KB.
  • download in Rutherford/Boeing format, file size: 58 KB.

    Matrix properties
    number of rows5,488
    number of columns5,488
    nonzeros14,170
    # strongly connected comp.754
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Grossman, P. Iain, R. Castro
    editorV. Batagelj
    date2006
    kindundirected graph
    2D/3D problem?no

    Additional fieldssize and type
    clusterfull 5488-by-1
    nodenamefull 5488-by-40

    Notes:

    ------------------------------------------------------------------------------
    Pajek network converted to sparse adjacency matrix for inclusion in UF sparse 
    matrix collection, Tim Davis.  For Pajek datasets, See V. Batagelj & A. Mrvar,
    http://vlado.fmf.uni-lj.si/pub/networks/data/.                                
    ------------------------------------------------------------------------------
    

    SVD-based statistics:
    norm(A)14.4482
    min(svd(A))1.29694e-79
    cond(A)1.11402e+80
    rank(A)882
    null space dimension4,606
    full numerical rank?no
    singular value gap2.50501e+13

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

    Pajek/Erdos972 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.