Matrix: Newman/hep-th
Description: collaboration network, preprints in high-energy physics, www.arxiv.org
(undirected graph drawing) |
Matrix properties | |
number of rows | 8,361 |
number of columns | 8,361 |
nonzeros | 31,502 |
# strongly connected comp. | 1,332 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | real |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | M. Newman |
editor | M. Newman |
date | 2001 |
kind | undirected weighted graph |
2D/3D problem? | no |
Additional fields | size and type |
nodename | full 8361-by-24 |
Notes:
Network collection from M. Newman http://www-personal.umich.edu/~mejn/netdata/ The grapu hep-th contains the collaboration network of scientists posting preprints on the high-energy theory 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).
SVD-based statistics: | |
norm(A) | 40.5189 |
min(svd(A)) | 1.72951e-50 |
cond(A) | 2.3428e+51 |
rank(A) | 7,101 |
null space dimension | 1,260 |
full numerical rank? | no |
singular value gap | 1.55908e+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.