Matrix: Pajek/WorldCities

Description: Pajek network: world city network

Pajek/WorldCities graph
(bipartite graph drawing)


Pajek/WorldCities
scc of Pajek/WorldCities

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  • Matrix group: Pajek
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  • download as a MATLAB mat-file, file size: 14 KB. Use UFget(1532) or UFget('Pajek/WorldCities') in MATLAB.
  • download in Matrix Market format, file size: 22 KB.
  • download in Rutherford/Boeing format, file size: 13 KB.

    Matrix properties
    number of rows315
    number of columns100
    nonzeros7,518
    structural full rank?yes
    structural rank100
    # of blocks from dmperm1
    # strongly connected comp.3
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typeinteger
    structurerectangular
    Cholesky candidate?no
    positive definite?no

    authorP. Taylor, G. Gatalano
    editorV. Batagelj
    date2004
    kindweighted bipartite graph
    2D/3D problem?no

    Additional fieldssize and type
    servicefull 100-by-1
    colnamefull 100-by-19
    rownamefull 315-by-18
    servicecodefull 6-by-22

    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/.                                
    ------------------------------------------------------------------------------
     World Cities and Services - two-mode network                                 
     http://www.lboro.ac.uk/gawc/datasets/da11.html                               
     Transformed in Pajek format by V. Batagelj, March 20, 2006                   
     city-by-service matrix.  service codes:                                      
     1 - accountancy   2 - advertising   3 - banking/finance                      
     4 - insurance     5 - law           6 - management consultancy               
    

    SVD-based statistics:
    norm(A)149.296
    min(svd(A))2.26207
    cond(A)65.9999
    rank(A)100
    sprank(A)-rank(A)0
    null space dimension0
    full numerical rank?yes

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

    Pajek/WorldCities 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.