Matrix: DIMACS10/preferentialAttachment
Description: DIMACS10 set: clustering/preferentialAttachment
(undirected graph drawing) |
Matrix properties | |
number of rows | 100,000 |
number of columns | 100,000 |
nonzeros | 999,970 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | symmetric |
numeric value symmetry | symmetric |
type | binary |
structure | symmetric |
Cholesky candidate? | no |
positive definite? | no |
author | H. Meyerhenke |
editor | H. Meyerhenke |
date | 2011 |
kind | random undirected graph |
2D/3D problem? | no |
Notes:
DIMACS10 set: clustering/preferentialAttachment source: http://www.cc.gatech.edu/dimacs10/archive/clustering.shtml This graph has been generated following a preferential attachment process (see Barabási and Albert, "Emergence of scaling in random networks", Science, 1999). Starting with a clique of five vertices, the vertices are successively added to the graph. Each new vertex chooses exactly five neighbors among the existing vertices, such that the probability of choosing a particular vertex is proportional to its degree. In our implementation, a vertex can choose a neighbour only once, such that the resulting random graph is guaranteed to be simple.
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.