Newman/football
American football games between Div IA colleges, Fall 2000
| Name |
football |
| Group |
Newman |
| Matrix ID |
2397 |
|
Num Rows
|
115 |
|
Num Cols
|
115 |
|
Nonzeros
|
1,226 |
|
Pattern Entries
|
1,226 |
|
Kind
|
Undirected Multigraph |
|
Symmetric
|
Yes |
|
Date
|
2002 |
|
Author
|
M. Girvan, M. Newman |
|
Editor
|
M. Newman |
| 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
|
integer |
| SVD Statistics |
| Matrix Norm |
1.083301e+01 |
| Minimum Singular Value |
2.900067e-02 |
| Condition Number |
3.735435e+02
|
| Rank |
115 |
| sprank(A)-rank(A) |
|
| Null Space Dimension |
0 |
| Full Numerical Rank? |
yes |
| Download Singular Values |
MATLAB
|
| Download |
MATLAB
Rutherford Boeing
Matrix Market
|
| Notes |
Network collection from M. Newman
http://www-personal.umich.edu/~mejn/netdata/
The graph football contains the network of American football games
between Division IA colleges during regular season Fall 2000, as compiled
by M. Girvan and M. Newman. The nodes have values that indicate to which
conferences they belong. The values are as follows:
0 = Atlantic Coast
1 = Big East
2 = Big Ten
3 = Big Twelve
4 = Conference USA
5 = Independents
6 = Mid-American
7 = Mountain West
8 = Pacific Ten
9 = Southeastern
10 = Sun Belt
11 = Western Athletic
If you make use of these data, please cite M. Girvan and M. E. J. Newman,
Community structure in social and biological networks,
Proc. Natl. Acad. Sci. USA 99, 7821-7826 (2002).
|
