Matrix: Pajek/WorldCities
Description: Pajek network: world city network
(bipartite graph drawing) |
Matrix properties | |
number of rows | 315 |
number of columns | 100 |
nonzeros | 7,518 |
structural full rank? | yes |
structural rank | 100 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 3 |
explicit zero entries | 0 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | integer |
structure | rectangular |
Cholesky candidate? | no |
positive definite? | no |
author | P. Taylor, G. Gatalano |
editor | V. Batagelj |
date | 2004 |
kind | weighted bipartite graph |
2D/3D problem? | no |
Additional fields | size and type |
service | full 100-by-1 |
colname | full 100-by-19 |
rowname | full 315-by-18 |
servicecode | full 6-by-22 |
Notes:
------------------------------------------------------------------------------ Pajek network converted to sparse adjacency matrix for inclusion in UF sparse matrix collection, Tim Davis. For Pajek datasets, See V. Batagelj & A. Mrvar, http://vlado.fmf.uni-lj.si/pub/networks/data/. ------------------------------------------------------------------------------ World Cities and Services - two-mode network http://www.lboro.ac.uk/gawc/datasets/da11.html Transformed in Pajek format by V. Batagelj, March 20, 2006 city-by-service matrix. service codes: 1 - accountancy 2 - advertising 3 - banking/finance 4 - insurance 5 - law 6 - management consultancy
SVD-based statistics: | |
norm(A) | 149.296 |
min(svd(A)) | 2.26207 |
cond(A) | 65.9999 |
rank(A) | 100 |
sprank(A)-rank(A) | 0 |
null space dimension | 0 |
full numerical rank? | yes |
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.