Matrix: Pajek/USAir97

Description: Pajek network: US Air flights, 1997

Pajek/USAir97 graph
(undirected graph drawing)


Pajek/USAir97
Pajek/USAir97 graph

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  • Matrix group: Pajek
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  • download as a MATLAB mat-file, file size: 31 KB. Use UFget(1529) or UFget('Pajek/USAir97') in MATLAB.
  • download in Matrix Market format, file size: 16 KB.
  • download in Rutherford/Boeing format, file size: 14 KB.

    Matrix properties
    number of rows332
    number of columns332
    nonzeros4,252
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorUS Air
    editorV. Batagelj
    date1997
    kindundirected weighted graph
    2D/3D problem?no

    Additional fieldssize and type
    nodenamefull 332-by-30
    coordfull 332-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.                
    

    SVD-based statistics:
    norm(A)4.22683
    min(svd(A))1.74951e-21
    cond(A)2.416e+21
    rank(A)281
    null space dimension51
    full numerical rank?no
    singular value gap2.25289e+09

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

    Pajek/USAir97 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.