Matrix: AG-Monien/ccc

Description: cube-connected cycle graph sequence

AG-Monien/ccc graph
(undirected graph drawing)

AG-Monien/ccc graph

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  • Matrix group: AG-Monien
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  • download as a MATLAB mat-file, file size: 915 KB. Use UFget(2438) or UFget('AG-Monien/ccc') in MATLAB.
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  • download in Rutherford/Boeing format, file size: 787 KB.

    Matrix properties
    number of rows49,152
    number of columns49,152
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

    authorR. Diekmann, R. Preis
    editorR. Diekmann, R. Preis
    kindundirected graph sequence
    2D/3D problem?no

    Additional fieldssize and type
    coordfull 49152-by-3
    Gcell 10-by-1
    Gnamecell 10-by-1
    Gcoordcell 10-by-1


    AG-Monien Graph Collection, Ralf Diekmann and Robert Preis                
    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 ccc sequence:                                                    
         1 : CCC3         :      24 nodes      36 edges      72 nonzeros           
         2 : CCC4         :      64 nodes      96 edges     192 nonzeros           
         3 : CCC5         :     160 nodes     240 edges     480 nonzeros           
         4 : CCC6         :     384 nodes     576 edges    1152 nonzeros           
         5 : CCC7         :     896 nodes    1344 edges    2688 nonzeros           
         6 : CCC8         :    2048 nodes    3072 edges    6144 nonzeros           
         7 : CCC9         :    4608 nodes    6912 edges   13824 nonzeros           
         8 : CCC10        :   10240 nodes   15360 edges   30720 nonzeros           
         9 : CCC11        :   22528 nodes   33792 edges   67584 nonzeros           
        10 : CCC12        :   49152 nodes   73728 edges  147456 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.