Matrix properties
number of rows	1,048,576
number of columns	1,048,576
nonzeros	4,194,298
# 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	R. Diekmann, R. Preis
editor	R. Diekmann, R. Preis
date	1998
kind	undirected graph sequence
2D/3D problem?	no

Additional fields	size and type
G	cell 18-by-1
Gname	cell 18-by-1

Notes:

AG-Monien Graph Collection, Ralf Diekmann and Robert Preis                     
http://www2.cs.uni-paderborn.de/fachbereich/AG/monien/RESEARCH/PART/graphs.html
                                                                               
A collection of test graphs from various sources.  Many of the graphs          
include XY or XYZ coordinates.  This set also includes some graphs from        
the Harwell-Boeing collection, the NASA matrices, and some random matrices     
which are not included here in the AG-Monien/ group of the UF Collection.      
In addition, two graphs already appear in other groups:                        
                                                                               
   AG-Monien/big : same as Nasa/barth5, Pothen/barth5 (not included here)      
   AG-Monien/cage_3_11 : same as Pajek/GD98_c (included here)                  
                                                                               
The AG-Monien/GRID subset is not included.  It contains square grids that      
are already well-represented in the UF Collection.                             
                                                                               
Six of the problem sets are included as sequences, each sequence being         
a single problem instance in the UF Collection:                                
                                                                               
   bfly:  10 butterfly graphs 3..12                                            
   cage:  45 cage graphs 3..12                                                 
   cca:   10 cube-connected cycle graphs, no wrap                              
   ccc:   10 cube-connected cycle graphs, with wrap                            
   debr:  18 De Bruijn graphs                                                  
   se:    13 shuffle-exchange graphs                                           
                                                                               
Problem.aux.G{:} are the graphs in these 6 sequences.  Problem.aux.Gname{:}    
are the original names of each graph, and Problemm.aux.Gcoord{:} are the       
xy or xyz coordinates of each node, if present.                                
                                                                               
Graphs in the debr sequence:                                                   
                                                                               
     1 : DEBR3        :       8 nodes      13 edges      26 nonzeros           
     2 : DEBR4        :      16 nodes      29 edges      58 nonzeros           
     3 : DEBR5        :      32 nodes      61 edges     122 nonzeros           
     4 : DEBR6        :      64 nodes     125 edges     250 nonzeros           
     5 : DEBR7        :     128 nodes     253 edges     506 nonzeros           
     6 : DEBR8        :     256 nodes     509 edges    1018 nonzeros           
     7 : DEBR9        :     512 nodes    1021 edges    2042 nonzeros           
     8 : DEBR10       :    1024 nodes    2045 edges    4090 nonzeros           
     9 : DEBR11       :    2048 nodes    4093 edges    8186 nonzeros           
    10 : DEBR12       :    4096 nodes    8189 edges   16378 nonzeros           
    11 : DEBR13       :    8192 nodes   16381 edges   32762 nonzeros           
    12 : DEBR14       :   16384 nodes   32765 edges   65530 nonzeros           
    13 : DEBR15       :   32768 nodes   65533 edges  131066 nonzeros           
    14 : DEBR16       :   65536 nodes  131069 edges  262138 nonzeros           
    15 : DEBR17       :  131072 nodes  262141 edges  524282 nonzeros           
    16 : DEBR18       :  262144 nodes  524285 edges 1048570 nonzeros           
    17 : DEBR19       :  524288 nodes 1048573 edges 2097146 nonzeros           
    18 : DEBR20       : 1048576 nodes 2097149 edges 4194298 nonzeros           
                                                                               
The primary graph (Problem.A) in this sequence is the last graph               
in the sequence.                                                               

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.