DIMACS10/vsp_south31_slptsk
DIMACS10 set: star-mixtures/vsp_south31_slptsk
| Name |
vsp_south31_slptsk |
| Group |
DIMACS10 |
| Matrix ID |
2645 |
|
Num Rows
|
39,668 |
|
Num Cols
|
39,668 |
|
Nonzeros
|
379,828 |
|
Pattern Entries
|
379,828 |
|
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 |
1.856900e+02 |
| Minimum Singular Value |
1.747803e-46 |
| Condition Number |
1.062420e+48
|
| Rank |
33,885 |
| sprank(A)-rank(A) |
|
| Null Space Dimension |
5,783 |
| 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.
|
