• UF Sparse Matrix Collection
  • Matrix group: Pajek
  • Click here for a description of the Pajek group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: Pajek/California
  • Description: Pajek network: Kleinberg's web search of "California"
  • download as a MATLAB mat-file, file size: 306 KB. Use UFget(1456) or UFget('Pajek/California') in MATLAB.
  • download in Matrix Market format
  • download in Rutherford/Boeing format

    Pajek/California

    scc of Pajek/California

    Pajek/California graph

    Matrix properties
    number of rows9,664
    number of columns9,664
    nonzeros16,150
    structural full rank?no
    structural rank1,686
    # of blocks from dmperm541
    # 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                                                                  
    

    Ordering statistics:AMD METIS
    nnz(chol(P*(A+A'+s*I)*P'))112,069 129,375
    Cholesky flop count2.0e+07 2.3e+07
    nnz(L+U), no partial pivoting214,474 249,086
    nnz(V) for QR, upper bound nnz(L) for LU1,019,740 1,037,128
    nnz(R) for QR, upper bound nnz(U) for LU120,302 141,351

    Maintained by Tim Davis, last updated 04-May-2008.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.