Matrix: DIMACS10/vsp_south31_slptsk
Description: DIMACS10 set: star-mixtures/vsp_south31_slptsk
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| (undirected graph drawing) |
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| Matrix properties | |
| number of rows | 39,668 |
| number of columns | 39,668 |
| nonzeros | 379,828 |
| # strongly connected comp. | 1 |
| explicit zero entries | 0 |
| nonzero pattern symmetry | symmetric |
| numeric value symmetry | symmetric |
| type | binary |
| structure | symmetric |
| Cholesky candidate? | no |
| positive definite? | no |
| author | C. Schultz |
| editor | H. Meyerhenke |
| date | 2011 |
| kind | random 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 dimension | 5,783 |
| full numerical rank? | no |
| singular value gap | 5.78363e+06 |
| singular values (MAT file): | click here |
| SVD method used: | s = svd (full (A)) |
| status: | ok |

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.