Matrix: DIMACS10/vsp_south31_slptsk

Description: DIMACS10 set: star-mixtures/vsp_south31_slptsk

DIMACS10/vsp_south31_slptsk graph
(undirected graph drawing)


DIMACS10/vsp_south31_slptsk

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  • Matrix group: DIMACS10
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  • download as a MATLAB mat-file, file size: 633 KB. Use UFget(2645) or UFget('DIMACS10/vsp_south31_slptsk') in MATLAB.
  • download in Matrix Market format, file size: 528 KB.
  • download in Rutherford/Boeing format, file size: 484 KB.

    Matrix properties
    number of rows39,668
    number of columns39,668
    nonzeros379,828
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typebinary
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorC. Schultz
    editorH. Meyerhenke
    date2011
    kindrandom unweighted graph
    2D/3D problem?no

    Notes:

    DIMACS10 star-mixtures set                                           
                                                                         
    Each graph in this benchmark represents a star-like structure of     
    different graphs S0 , . . . , St. Graphs S1 , . . . , St are weakly  
    connected to the center S0 by random edges. The total number of edges
    between each Si and S0 was less than 3% out of the total number of   
    edges in Si . The graphs are mixtures of the following structures:   
    social networks, finite-element graphs, VLSI chips, peer-to-peer     
    networks, and matrices from optimization solvers.                    
                                                                         
    More info can be found in the paper I. Safro, P. Sanders, C. Schulz: 
    Advanced Coarsening Schemes for Graph Partitioning, SEA 2012.        
                                                                         
    Author: Christian Schulz, uploaded on March 30, 2012.                
    

    SVD-based statistics:
    norm(A)185.69
    min(svd(A))1.7478e-46
    cond(A)1.06242e+48
    rank(A)33,885
    null space dimension5,783
    full numerical rank?no
    singular value gap5.78363e+06

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

    DIMACS10/vsp_south31_slptsk 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.