Matrix: Newman/lesmis
Description: co-appearences of characters in Les Miserables by Victor Hugo
(undirected graph drawing) |
Matrix properties | |
number of rows | 77 |
number of columns | 77 |
nonzeros | 508 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | integer |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | D. Knuth |
editor | M. Newman |
date | 1993 |
kind | undirected weighted graph |
2D/3D problem? | no |
Additional fields | size and type |
nodename | full 77-by-16 |
Notes:
Network collection from M. Newman http://www-personal.umich.edu/~mejn/netdata/ The graph lesmis contains the weighted network of coappearances of characters in Victor Hugo's novel "Les Miserables". Nodes represent characters as indicated by the labels and edges connect any pair of characters that appear in the same chapter of the book. The values on the edges are the number of such coappearances. The data on coappearances were taken from D. E. Knuth, The Stanford GraphBase: A Platform for Combinatorial Computing, Addison-Wesley, Reading, MA (1993).
SVD-based statistics: | |
norm(A) | 65.0263 |
min(svd(A)) | 8.62319e-17 |
cond(A) | 7.54086e+17 |
rank(A) | 64 |
null space dimension | 13 |
full numerical rank? | no |
singular value gap | 1.73019e+12 |
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.