AG-Monien/bfly

butterfly graph sequence
Name bfly
Group AG-Monien
Matrix ID 2435
Num Rows 49,152
Num Cols 49,152
Nonzeros 196,608
Pattern Entries 196,608
Kind Undirected Graph Sequence
Symmetric Yes
Date 1998
Author R. Diekmann, R. Preis
Editor R. Diekmann, R. Preis
Structural Rank
Structural Rank Full
Num Dmperm Blocks
Strongly Connect Components 1
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate no
Positive Definite no
Type binary
Download MATLAB Rutherford Boeing Matrix Market
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 bfly sequence:                                                   
                                                                               
     1 : BFLY3        :      24 nodes      48 edges      96 nonzeros           
     2 : BFLY4        :      64 nodes     128 edges     256 nonzeros           
     3 : BFLY5        :     160 nodes     320 edges     640 nonzeros           
     4 : BFLY6        :     384 nodes     768 edges    1536 nonzeros           
     5 : BFLY7        :     896 nodes    1792 edges    3584 nonzeros           
     6 : BFLY8        :    2048 nodes    4096 edges    8192 nonzeros           
     7 : BFLY9        :    4608 nodes    9216 edges   18432 nonzeros           
     8 : BFLY10       :   10240 nodes   20480 edges   40960 nonzeros           
     9 : BFLY11       :   22528 nodes   45056 edges   90112 nonzeros           
    10 : BFLY12       :   49152 nodes   98304 edges  196608 nonzeros           
                                                                               
The primary graph (Problem.A) in this sequence is the last graph               
in the sequence.