**Matrix: AG-Monien/bfly**

Description: butterfly graph sequence

(undirected graph drawing) |

Matrix properties | |

number of rows | 49,152 |

number of columns | 49,152 |

nonzeros | 196,608 |

# 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 |

coord | full 49152-by-3 |

G | cell 10-by-1 |

Gname | cell 10-by-1 |

Gcoord | cell 10-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 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.

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.
*