Matrix: Pajek/California
Description: Pajek network: Kleinberg's web search of "California"
(bipartite graph drawing) | (graph drawing of A+A') |
Matrix properties | |
number of rows | 9,664 |
number of columns | 9,664 |
nonzeros | 16,150 |
# strongly connected comp. | 9,450 |
explicit zero entries | 0 |
nonzero pattern symmetry | 2% |
numeric value symmetry | 2% |
type | binary |
structure | unsymmetric |
Cholesky candidate? | no |
positive definite? | no |
author | J. Kleinberg |
editor | V. Batagelj |
date | 2006 |
kind | directed graph |
2D/3D problem? | no |
Additional fields | size and type |
nodename | full 9664-by-128 |
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/. ------------------------------------------------------------------------------ California - Pages matching the query "California". This graph was constructed by expanding a 200-page response set to a search engine query 'California', as in the hub/authority algorithm. from Jon Kleinberg: http://www.cs.cornell.edu/courses/cs685/2002fa/ adapted for Pajek, V. Batagelj, March 19, 2006 0 -> 9664
SVD-based statistics: | |
norm(A) | 21.5507 |
min(svd(A)) | 0 |
cond(A) | Inf |
rank(A) | 1,647 |
null space dimension | 8,017 |
full numerical rank? | no |
singular value gap | 6.18842e+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.