DIMACS10/vsp_data_and_seymourl

DIMACS10 set: star-mixtures/vsp_data_and_seymourl
Name vsp_data_and_seymourl
Group DIMACS10
Matrix ID 2638
Num Rows 9,167
Num Cols 9,167
Nonzeros 111,732
Pattern Entries 111,732
Kind Random Unweighted Graph
Symmetric Yes
Date 2011
Author C. Schultz
Editor H. Meyerhenke
Structural Rank
Structural Rank Full
Num Dmperm Blocks
Strongly Connect Components 1
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate no
Positive Definite no
Type binary
SVD Statistics
Matrix Norm 2.916220e+01
Minimum Singular Value 7.474439e-18
Condition Number 3.901590e+18
Rank 9,132
sprank(A)-rank(A)
Null Space Dimension 35
Full Numerical Rank? no
Download Singular Values MATLAB
Download MATLAB Rutherford Boeing Matrix Market
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.