Matrix: Pajek/California

Description: Pajek network: Kleinberg's web search of "California"

Pajek/California graph Pajek/California graph
(bipartite graph drawing) (graph drawing of A+A')


Pajek/California
scc of Pajek/California

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Pajek
  • Click here for a description of the Pajek group.
  • Click here for a list of all matrices
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  • download as a MATLAB mat-file, file size: 306 KB. Use UFget(1456) or UFget('Pajek/California') in MATLAB.
  • download in Matrix Market format, file size: 176 KB.
  • download in Rutherford/Boeing format, file size: 170 KB.

    Matrix properties
    number of rows9,664
    number of columns9,664
    nonzeros16,150
    # strongly connected comp.9,450
    explicit zero entries0
    nonzero pattern symmetry 2%
    numeric value symmetry 2%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Kleinberg
    editorV. Batagelj
    date2006
    kinddirected graph
    2D/3D problem?no

    Additional fieldssize and type
    nodenamefull 9664-by-128

    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/.                                
    ------------------------------------------------------------------------------
     California - Pages matching the query "California".                          
     This graph was constructed by expanding a 200-page response set to           
     a search engine query 'California', as in the hub/authority algorithm.       
     from Jon Kleinberg:                                                          
       http://www.cs.cornell.edu/courses/cs685/2002fa/                            
     adapted for Pajek, V. Batagelj, March 19, 2006                               
       0 -> 9664                                                                  
    

    SVD-based statistics:
    norm(A)21.5507
    min(svd(A))0
    cond(A)Inf
    rank(A)1,647
    null space dimension8,017
    full numerical rank?no
    singular value gap6.18842e+12

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

    Pajek/California 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.