**Matrix: Newman/netscience**

Description: co-authoship of scientists in network theory & experiments

(undirected graph drawing) |

Matrix properties | |

number of rows | 1,589 |

number of columns | 1,589 |

nonzeros | 5,484 |

# strongly connected comp. | 396 |

explicit zero entries | 0 |

nonzero pattern symmetry | symmetric |

numeric value symmetry | symmetric |

type | real |

structure | symmetric |

Cholesky candidate? | no |

positive definite? | no |

author | M. Newman |

editor | M. Newman |

date | 2006 |

kind | undirected weighted graph |

2D/3D problem? | no |

Additional fields | size and type |

nodename | full 1589-by-19 |

Notes:

Network collection from M. Newman http://www-personal.umich.edu/~mejn/netdata/ The graph netscience contains a coauthorship network of scientists working on network theory and experiment, as compiled by M. Newman in May 2006. The network was compiled from the bibliographies of two review articles on networks, M. E. J. Newman, SIAM Review 45, 167-256 (2003) and S. Boccaletti et al., Physics Reports 424, 175-308 (2006), with a few additional references added by hand. The version given here contains all components of the network, for a total of 1589 scientists, and not just the largest component of 379 scientists previously published. The network is weighted, with weights assigned as described in M. E. J. Newman, Phys. Rev. E 64, 016132 (2001). If you make use of these data, please cite M. E. J. Newman, Finding community structure in networks using the eigenvectors of matrices, Preprint physics/0605087 (2006).

SVD-based statistics: | |

norm(A) | 9.72857 |

min(svd(A)) | 0 |

cond(A) | Inf |

rank(A) | 1,416 |

null space dimension | 173 |

full numerical rank? | no |

singular value gap | 2.45288e+08 |

singular values (MAT file): | click here |

SVD method used: | s = svd (full (A)) ; |

status: | ok |

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.
*