• UF Sparse Matrix Collection
  • Matrix group: Pajek
  • Click here for a description of the Pajek group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Pajek/Erdos971
  • Description: Pajek network: Erdos collaboration network
  • download as a MATLAB mat-file, file size: 11 KB. Use UFget(1465) or UFget('Pajek/Erdos971') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Pajek/Erdos971

    scc of Pajek/Erdos971

    Pajek/Erdos971 graph

    Matrix properties
    number of rows472
    number of columns472
    nonzeros2,628
    structural full rank?no
    structural rank414
    # of blocks from dmperm230
    # strongly connected comp.42
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?yes
    positive definite?no

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

    Additional fieldssize and type
    nodenamefull 472-by-33

    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/.                                
    ------------------------------------------------------------------------------
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))4,400 4,973
    Cholesky flop count1.2e+05 1.5e+05
    nnz(L+U), no partial pivoting8,328 9,474
    nnz(V) for QR, upper bound nnz(L) for LU10,914 9,179
    nnz(R) for QR, upper bound nnz(U) for LU22,181 23,260

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.