Pajek/Erdos02 graph

Matrix: Pajek/Erdos02

Description: Pajek network: Erdos collaboration network


  • UF Sparse Matrix Collection
  • Matrix group: Pajek
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  • download as a MATLAB mat-file, file size: 112 KB. Use UFget(1464) or UFget('Pajek/Erdos02') in MATLAB.
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    Pajek/Erdos02

    scc of Pajek/Erdos02

    Matrix properties
    number of rows6,927
    number of columns6,927
    nonzeros16,944
    structural full rank?no
    structural rank938
    # of blocks from dmperm42
    # strongly connected comp.1,394
    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
    nodenamefull 6927-by-45

    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/.                                
    ------------------------------------------------------------------------------
     Erdos collaboration network:                                                 
     Erdos included, version 2002                                                 
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))33,211 48,213
    Cholesky flop count1.9e+06 4.8e+06
    nnz(L+U), no partial pivoting59,495 89,499
    nnz(V) for QR, upper bound nnz(L) for LU2,488,463 2,888,207
    nnz(R) for QR, upper bound nnz(U) for LU555,374 632,050

    Maintained by Tim Davis, last updated 30-Sep-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.