Matrix properties
number of rows	5,363,260
number of columns	5,363,260
nonzeros	79,023,142
# strongly connected comp.	1,119,171
explicit zero entries	0
nonzero pattern symmetry	73%
numeric value symmetry	73%
type	binary
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	Laboratory for Web Algorithmics (LAW), Universita degli Studi di Milano, http://law.di.unimi.it/index.php
editor	Laboratory for Web Algorithmics (LAW), Universita degli Studi di Milano, http://law.di.unimi.it/index.php
date	2008
kind	directed graph
2D/3D problem?	no

Notes:

Laboratory for Web Algorithmics (LAW), Universita degli Studi di Milano, 
http://law.di.unimi.it/index.php.  When using matrices in the LAW/ group 
in the collection, please follow the citation instructions at            
http://law.di.unimi.it/datasets.php.  If you publish results based on    
these graphs, please acknowledge the usage of WebGraph and LLP by quoting
the following papers:                                                    
                                                                         
[1] "The WebGraph Framework I: Compression Techniques," Paolo Boldi      
    and Sebastiano Vigna, Proc. of the Thirteenth International          
    World Wide Web Conference (WWW 2004), 2004, Manhattan, USA,          
    pp. 595--601, ACM Press.                                             
                                                                         
[2] "Layered Label Propagation: A MultiResolution Coordinate-Free        
    Ordering for Compressing Social Networks," Paolo Boldi, Marco        
    Rosa, Massimo Santini, and Sebastiano Vigna, Proceedings of the      
    20th international conference on World Wide Web, 2011, ACM Press.    
                                                                         
If the graphs you are using were gathered by UbiCrawler, please          
acknowledge the usage of UbiCrawler by quoting the following paper:      
                                                                         
[3] "UbiCrawler: A Scalable Fully Distributed Web Crawler",              
    Paolo Boldi, Bruno Codenotti, Massimo Santini, and Sebastiano        
    Vigna, Software: Practice & Experience, 2004, vol 34, no. 8,         
    pp. 711--726                                                         
                                                                         
LAW/ljournal-2008                                                        
                                                                         
LiveJournal is a virtual-community social site started in 1999:          
nodes are users and there is an arc from x to y if x registered y        
among his friends. It is not necessary to ask y permission,              
so the graph is directed). This graph is the snapshot used by            
Flavio Chierichetti, Ravi Kumar, Silvio Lattanzi, Michael                
Mitzenmacher, Alessandro Panconesi, and Prabhakar Raghavan in            
"On compressing social networks", KDD '09: Proceedings of the            
15th ACM SIGKDD international conference on Knowledge discovery          
and data mining, pages 219-228, 2009, ACM press, and was kindly          
provided by the authors.                                                 
                                                                         
For additional graph properties and statistics, including node labels,   
see http://law.di.unimi.it/webdata/ljournal-2008                         

For a description of the statistics displayed above, click here.

Maintained by Tim Davis, last updated 09-Mar-2015.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.