AG-Monien/se
shuffle-exchange graph sequence
| Name | 
se | 
| Group | 
AG-Monien | 
| Matrix ID | 
2440 | 
| 
Num Rows
 | 
32,768 | 
| 
Num Cols
 | 
32,768 | 
| 
Nonzeros
 | 
98,300 | 
| 
Pattern Entries
 | 
98,300 | 
| 
Kind
 | 
Undirected Graph Sequence | 
| 
Symmetric
 | 
Yes | 
| 
Date
 | 
1998 | 
| 
Author
 | 
R. Diekmann, R. Preis | 
| 
Editor
 | 
R. Diekmann, R. Preis | 
 
 
| 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 | 
2.999977e+00 | 
| Minimum Singular Value | 
7.960670e-19 | 
| Condition Number | 
3.768499e+18
 | 
| Rank | 
32,311 | 
| sprank(A)-rank(A) | 
 | 
| Null Space Dimension | 
457 | 
| Full Numerical Rank? | 
no | 
| Download Singular Values | 
MATLAB
 | 
 
 
| Download | 
MATLAB
Rutherford Boeing
Matrix Market
 | 
| Notes | 
AG-Monien Graph Collection, Ralf Diekmann and Robert Preis                     
http://www2.cs.uni-paderborn.de/fachbereich/AG/monien/RESEARCH/PART/graphs.html
                                                                               
A collection of test graphs from various sources.  Many of the graphs          
include XY or XYZ coordinates.  This set also includes some graphs from        
the Harwell-Boeing collection, the NASA matrices, and some random matrices     
which are not included here in the AG-Monien/ group of the UF Collection.      
In addition, two graphs already appear in other groups:                        
                                                                               
   AG-Monien/big : same as Nasa/barth5, Pothen/barth5 (not included here)      
   AG-Monien/cage_3_11 : same as Pajek/GD98_c (included here)                  
                                                                               
The AG-Monien/GRID subset is not included.  It contains square grids that      
are already well-represented in the UF Collection.                             
                                                                               
Six of the problem sets are included as sequences, each sequence being         
a single problem instance in the UF Collection:                                
                                                                               
   bfly:  10 butterfly graphs 3..12                                            
   cage:  45 cage graphs 3..12                                                 
   cca:   10 cube-connected cycle graphs, no wrap                              
   ccc:   10 cube-connected cycle graphs, with wrap                            
   debr:  18 De Bruijn graphs                                                  
   se:    13 shuffle-exchange graphs                                           
                                                                               
Problem.aux.G{:} are the graphs in these 6 sequences.  Problem.aux.Gname{:}    
are the original names of each graph, and Problemm.aux.Gcoord{:} are the       
xy or xyz coordinates of each node, if present.                                
                                                                               
Graphs in the se sequence:                                                     
                                                                               
     1 : SE3          :       8 nodes      10 edges      20 nonzeros           
     2 : SE4          :      16 nodes      21 edges      42 nonzeros           
     3 : SE5          :      32 nodes      46 edges      92 nonzeros           
     4 : SE6          :      64 nodes      93 edges     186 nonzeros           
     5 : SE7          :     128 nodes     190 edges     380 nonzeros           
     6 : SE8          :     256 nodes     381 edges     762 nonzeros           
     7 : SE9          :     512 nodes     766 edges    1532 nonzeros           
     8 : SE10         :    1024 nodes    1533 edges    3066 nonzeros           
     9 : SE11         :    2048 nodes    3070 edges    6140 nonzeros           
    10 : SE12         :    4096 nodes    6141 edges   12282 nonzeros           
    11 : SE13         :    8192 nodes   12286 edges   24572 nonzeros           
    12 : SE14         :   16384 nodes   24573 edges   49146 nonzeros           
    13 : SE15         :   32768 nodes   49150 edges   98300 nonzeros           
                                                                               
The primary graph (Problem.A) in this sequence is the last graph               
in the sequence.
 
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