Matrix: Newman/karate

Description: Karate club, from Wayne Zachary, 1977

Newman/karate graph
(undirected graph drawing)


Newman/karate

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    Matrix properties
    number of rows34
    number of columns34
    nonzeros156
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorW. Zachary
    editorM. Newman
    date1977
    kindundirected graph
    2D/3D problem?no

    Notes:

    Network collection from M. Newman                                          
    http://www-personal.umich.edu/~mejn/netdata/                               
                                                                               
    The graph "karate" contains the network of friendships between the 34      
    members of a karate club at a US university, as described by Wayne Zachary 
    in 1977.  If you use these data in your work, please cite W. W. Zachary, An
    information flow model for conflict and fission in small groups, Journal of
    Anthropological Research 33, 452-473 (1977).                               
    

    SVD-based statistics:
    norm(A)6.7257
    min(svd(A))5.06585e-18
    cond(A)1.32765e+18
    rank(A)24
    null space dimension10
    full numerical rank?no
    singular value gap3.04055e+14

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

    Newman/karate 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.