Newman/astro-ph

collaboration network, preprints in astrophysics archive, www.arxiv.org
Name astro-ph
Group Newman
Matrix ID 2391
Num Rows 16,706
Num Cols 16,706
Nonzeros 242,502
Pattern Entries 242,502
Kind Undirected Weighted Graph
Symmetric Yes
Date 2001
Author M. Newman
Editor M. Newman
Structural Rank
Structural Rank Full
Num Dmperm Blocks
Strongly Connect Components 1,029
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate no
Positive Definite no
Type real
SVD Statistics
Matrix Norm 3.375751e+01
Minimum Singular Value 2.036013e-36
Condition Number 1.658020e+37
Rank 15,668
sprank(A)-rank(A)
Null Space Dimension 1,038
Full Numerical Rank? no
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 astro-ph contains the collaboration network of scientists       
posting preprints on the astrophysics archive at www.arxiv.org, 1995-1999,
as compiled by M. Newman.  The network is weighted, with weights assigned 
as described in the original papers.  Please cite, as appropriate, one or 
more of:                                                                  
                                                                          
  M. E. J. Newman, The structure of scientific collaboration networks,    
  Proc. Natl. Acad. Sci. USA 98, 404-409 (2001).                          
                                                                          
  M. E. J. Newman, Scientific collaboration networks: I. Network          
  construction and fundamental results, Phys. Rev. E 64, 016131 (2001).   
                                                                          
  M. E. J. Newman, Scientific collaboration networks: II. Shortest paths, 
  weighted networks, and centrality, Phys. Rev. E 64, 016132 (2001).