Matrix: Pajek/USpowerGrid

Description: Pajek network: US power grid

Pajek/USpowerGrid graph
(undirected graph drawing)


Pajek/USpowerGrid

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Pajek
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  • download as a MATLAB mat-file, file size: 31 KB. Use UFget(1530) or UFget('Pajek/USpowerGrid') in MATLAB.
  • download in Matrix Market format, file size: 23 KB.
  • download in Rutherford/Boeing format, file size: 22 KB.

    Matrix properties
    number of rows4,941
    number of columns4,941
    nonzeros13,188
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorP. Tsaparas
    editorV. Batagelj
    date2006
    kindundirected graph
    2D/3D problem?no

    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/.                                
    ------------------------------------------------------------------------------
     US power grid - unweighted network                                           
     from Panayiotis Tsaparas:                                                    
       http://www.cs.helsinki.fi/u/tsaparas/MACN2006/data-code.html               
     adapted for Pajek, V. Batagelj, March 19, 2006                               
       0 -> 4941                                                                  
    

    SVD-based statistics:
    norm(A)7.48305
    min(svd(A))6.34037e-19
    cond(A)1.18022e+19
    rank(A)4,348
    null space dimension593
    full numerical rank?no
    singular value gap3.91356e+12

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

    Pajek/USpowerGrid 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.