Matrix: DIMACS10/vsp_data_and_seymourl

Description: DIMACS10 set: star-mixtures/vsp_data_and_seymourl

DIMACS10/vsp_data_and_seymourl graph
(undirected graph drawing)


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  • Matrix group: DIMACS10
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  • download as a MATLAB mat-file, file size: 181 KB. Use UFget(2638) or UFget('DIMACS10/vsp_data_and_seymourl') in MATLAB.
  • download in Matrix Market format, file size: 145 KB.
  • download in Rutherford/Boeing format, file size: 105 KB.

    Matrix properties
    number of rows9,167
    number of columns9,167
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

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


    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:
    null space dimension35
    full numerical rank?no
    singular value gap1.8059e+10

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

    DIMACS10/vsp_data_and_seymourl 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.