Matrix: Pajek/Cities

Description: Pajek network: www.lboro.ac.uk/gawc, data set 6

Pajek/Cities graph
(bipartite graph drawing)


Pajek/Cities

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  • Matrix group: Pajek
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  • download as a MATLAB mat-file, file size: 4 KB. Use UFget(1457) or UFget('Pajek/Cities') in MATLAB.
  • download in Matrix Market format, file size: 5 KB.
  • download in Rutherford/Boeing format, file size: 3 KB.

    Matrix properties
    number of rows55
    number of columns46
    nonzeros1,342
    structural full rank?yes
    structural rank46
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorP. Taylor, D. Walker
    editorV. Batagelj
    date2001
    kindweighted bipartite graph
    2D/3D problem?no

    Additional fieldssize and type
    clusterfull 101-by-1
    colnamefull 46-by-45
    rownamefull 55-by-13

    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/.                                
    ------------------------------------------------------------------------------
     http://www.lboro.ac.uk/gawc/datasets/da6.html                                
     Accountancy                                                                  
     Advertising                                                                  
     Banking and Finance                                                          
     Law                                                                          
    

    SVD-based statistics:
    norm(A)56.0866
    min(svd(A))0.270755
    cond(A)207.149
    rank(A)46
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero
    status:ok

    Pajek/Cities 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.