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.
|