AG-Monien/cca

cube-connected cycle (no wrap) graph sequence
Name cca
Group AG-Monien
Matrix ID 2437
Num Rows 49,152
Num Cols 49,152
Nonzeros 139,264
Pattern Entries 139,264
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 cca sequence:                                                    
                                                                               
     1 : CCA3         :      24 nodes      28 edges      56 nonzeros           
     2 : CCA4         :      64 nodes      80 edges     160 nonzeros           
     3 : CCA5         :     160 nodes     208 edges     416 nonzeros           
     4 : CCA6         :     384 nodes     512 edges    1024 nonzeros           
     5 : CCA7         :     896 nodes    1216 edges    2432 nonzeros           
     6 : CCA8         :    2048 nodes    2816 edges    5632 nonzeros           
     7 : CCA9         :    4608 nodes    6400 edges   12800 nonzeros           
     8 : CCA10        :   10240 nodes   14336 edges   28672 nonzeros           
     9 : CCA11        :   22528 nodes   31744 edges   63488 nonzeros           
    10 : CCA12        :   49152 nodes   69632 edges  139264 nonzeros           
                                                                               
The primary graph (Problem.A) in this sequence is the last graph               
in the sequence.