Matrix: Newman/football

Description: American football games between Div IA colleges, Fall 2000

Newman/football graph
(undirected graph drawing)


Newman/football

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  • Matrix group: Newman
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  • download as a MATLAB mat-file, file size: 4 KB. Use UFget(2397) or UFget('Newman/football') in MATLAB.
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    Matrix properties
    number of rows115
    number of columns115
    nonzeros1,226
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typeinteger
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorM. Girvan, M. Newman
    editorM. Newman
    date2002
    kindundirected multigraph
    2D/3D problem?no

    Additional fieldssize and type
    nodenamefull 115-by-20
    nodevaluefull 115-by-1

    Notes:

    Network collection from M. Newman                                        
    http://www-personal.umich.edu/~mejn/netdata/                             
                                                                             
    The graph football contains the network of American football games       
    between Division IA colleges during regular season Fall 2000, as compiled
    by M. Girvan and M. Newman.  The nodes have values that indicate to which
    conferences they belong.  The values are as follows:                     
                                                                             
      0 = Atlantic Coast                                                     
      1 = Big East                                                           
      2 = Big Ten                                                            
      3 = Big Twelve                                                         
      4 = Conference USA                                                     
      5 = Independents                                                       
      6 = Mid-American                                                       
      7 = Mountain West                                                      
      8 = Pacific Ten                                                        
      9 = Southeastern                                                       
     10 = Sun Belt                                                           
     11 = Western Athletic                                                   
                                                                             
    If you make use of these data, please cite M. Girvan and M. E. J. Newman,
    Community structure in social and biological networks,                   
    Proc. Natl. Acad. Sci. USA 99, 7821-7826 (2002).                         
    

    SVD-based statistics:
    norm(A)10.833
    min(svd(A))0.0290007
    cond(A)373.543
    rank(A)115
    null space dimension0
    full numerical rank?yes

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

    Newman/football 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.