Matrix: Newman/celegansneural

Description: Neural network of the nematode C. Elegans

Newman/celegansneural graph Newman/celegansneural graph
(bipartite graph drawing) (graph drawing of A+A')


Newman/celegansneural
scc of Newman/celegansneural

  • Home page of the UF Sparse Matrix Collection
  • Matrix group: Newman
  • Click here for a description of the Newman group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups
  • download as a MATLAB mat-file, file size: 7 KB. Use UFget(2392) or UFget('Newman/celegansneural') in MATLAB.
  • download in Matrix Market format, file size: 9 KB.
  • download in Rutherford/Boeing format, file size: 7 KB.

    Matrix properties
    number of rows297
    number of columns297
    nonzeros2,345
    # strongly connected comp.57
    explicit zero entries0
    nonzero pattern symmetry 17%
    numeric value symmetry 5%
    typeinteger
    structureunsymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. White, E. Southgate, J. Thompson, S. Brenner
    editorD. Watts, S. Strogatz
    date1998
    kinddirected weighted graph
    2D/3D problem?no

    Additional fieldssize and type
    nodenamefull 297-by-3

    Notes:

    Network collection from M. Newman                                          
    http://www-personal.umich.edu/~mejn/netdata/                               
                                                                               
    Neural network of the nematode C. Elegans                                  
                                                                               
    Compiled by Duncan Watts and Steven Strogatz from original experimental    
    data by White et al.                                                       
                                                                               
    The graph celegansneural describes a weighted, directed network            
    representing the neural network of C. Elegans.  The data were taken from   
    the web site of Prof. Duncan Watts at Columbia University,                 
    http://cdg.columbia.edu/cdg/datasets.  The nodes in the original data were 
    not consecutively numbered, so they have been renumbered to be consecutive.
    The original node numbers from Watts' data file are retained as the labels 
    of the nodes.  Edge weights are the weights given by Watts.                
                                                                               
    These data can be cited as:                                                
                                                                               
      J. G. White, E. Southgate, J. N. Thompson, and S. Brenner, "The structure
      of the nervous system of the nematode C. Elegans", Phil. Trans. R. Soc.  
      London 314, 1-340 (1986).                                                
                                                                               
      D. J. Watts and S. H. Strogatz, "Collective dynamics of `small-world     
      networks", Nature 393, 440-442 (1998).                                   
    

    SVD-based statistics:
    norm(A)183.876
    min(svd(A))0
    cond(A)Inf
    rank(A)248
    null space dimension49
    full numerical rank?no
    singular value gap1.59671e+12

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

    Newman/celegansneural 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.