Matrix: Pajek/HEP-th

Description: Pajek network: High Energy Physics literature

Pajek/HEP-th graph Pajek/HEP-th graph
(bipartite graph drawing) (graph drawing of A+A')


Pajek/HEP-th
scc of Pajek/HEP-th

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  • Matrix group: Pajek
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  • download as a MATLAB mat-file, file size: 764 KB. Use UFget(1502) or UFget('Pajek/HEP-th') in MATLAB.
  • download in Matrix Market format, file size: 1 MB.
  • download in Rutherford/Boeing format, file size: 841 KB.

    Matrix properties
    number of rows27,240
    number of columns27,240
    nonzeros342,437
    # strongly connected comp.19,565
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    typebinary
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorKDD Cup 2003
    editorV. Batagelj
    date2003
    kinddirected graph
    2D/3D problem?no

    Additional fieldssize and type
    nodenamefull 27240-by-7

    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/.                                
    ------------------------------------------------------------------------------
     High Energy Particle Physics (HEP) literature                                
     ---------------------------------------------                                
     Citation data from KDD Cup 2003, a knowledge discovery and data mining       
     competition held in conjunction with the Ninth Annual ACM SIGKDD Conference. 
       http://www.cs.cornell.edu/projects/kddcup/index.html                       
     The Stanford Linear Accelerator Center SPIRES-HEP database has been          
     comprehensively cataloguing the High Energy Particle Physics (HEP) literature
     online since 1974, and indexes more than 500,000 high-energy physics related 
     articles including their full citation tree.                                 
     The network contains a citation graph of the hep-th portion of the arXiv.    
     The units names are the arXiv IDs of papers; the relation is  X cites Y .    
     Note that revised papers may have updated citations. As such, citations may  
     refer to future papers, i.e. a paper may cite another paper that was publishe
     after the first paper.                                                       
     Update May 12, 2003 is not included.                                         
                                                                                  
     transformed in Pajek format: V. Batagelj, 26. July 2003                      
     -----                                                                        
    

    SVD-based statistics:
    norm(A)84.3235
    min(svd(A))5.59609e-66
    cond(A)1.50683e+67
    rank(A)21,162
    null space dimension6,078
    full numerical rank?no
    singular value gap1.3948e+08

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

    Pajek/HEP-th 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.