• SJSU Singular Matrix Database
  • 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/GD02_b
  • Description: Pajek network: Graph Drawing contest 2002
  • download as a MATLAB mat-file, file size: 3 KB. Use SJget(17) or SJget('Pajek/GD02_b') in MATLAB.
  • download in Matrix Market format, file size: 2 KB.
  • download in Rutherford/Boeing format, file size: 2 KB.

    Pajek/GD02_b

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    Pajek/GD02_b

    scc of Pajek/GD02_b

    Pajek/GD02_b graph

    Matrix properties (click for a legend)  
    number of rows80
    number of columns80
    structural full rank?no
    structural rank77
    numerical rank 77
    dimension of the numerical null space3
    numerical rank / min(size(A))0.9625
    Euclidean norm of A 3.6503
    calculated singular value # 770.041649
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    3.5527e-014
    calculated singular value # 781.3281e-016
    gap in the singular values at the numerical rank:
    singular value # 77 / singular value # 78
    3.1359e+014
    calculated condition number4.9932e+016
    condestInf
    nonzeros232
    # of blocks from dmperm35
    # strongly connected comp.11
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorGraph Drawing Contest
    editorV. Batagelj
    date2002
    kinddirected graph
    2D/3D problem?no
    SJid17
    UFid1,482

    Additional fieldssize and type
    nodenamefull 80-by-4
    coordfull 80-by-2

    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/.                                
    ------------------------------------------------------------------------------
    The original problem had 3D xyz coordinates, but all values of z were equal   
    to 0.5, and have been removed.  This graph has 2D coordinates.                
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))496 532
    Cholesky flop count3.3e+003 3.9e+003
    nnz(L+U), no partial pivoting912 984
    nnz(V) for QR, upper bound nnz(L) for LU219 228
    nnz(R) for QR, upper bound nnz(U) for LU492 542

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.