**Matrix: SNAP/cit-HepTh**

Description: Arxiv High Energy Physics paper citation network

(bipartite graph drawing) | (graph drawing of A+A') |

Matrix properties | |

number of rows | 27,770 |

number of columns | 27,770 |

nonzeros | 352,807 |

# strongly connected comp. | 20,086 |

explicit zero entries | 0 |

nonzero pattern symmetry | 0% |

numeric value symmetry | 0% |

type | binary |

structure | unsymmetric |

Cholesky candidate? | no |

positive definite? | no |

author | J. Gehrke, P. Ginsparg, J. Kleinberg |

editor | J. Leskovec |

date | 2003 |

kind | directed graph |

2D/3D problem? | no |

Additional fields | size and type |

nodename | full 27770-by-1 |

Notes:

Networks from SNAP (Stanford Network Analysis Platform) Network Data Sets, Jure Leskovec http://snap.stanford.edu/data/index.html email jure at cs.stanford.edu High-energy physics theory citation network Dataset information Arxiv HEP-TH (high energy physics theory) citation graph is from the e-print arXiv and covers all the citations within a dataset of 27,770 papers with 352,807 edges. If a paper i cites paper j, the graph contains a directed edge from i to j. If a paper cites, or is cited by, a paper outside the dataset, the graph does not contain any information about this. The data covers papers in the period from January 1993 to April 2003 (124 months). It begins within a few months of the inception of the arXiv, and thus represents essentially the complete history of its HEP-TH section. The data was originally released as a part of 2003 KDD Cup. Dataset statistics Nodes 27770 Edges 352807 Nodes in largest WCC 27400 (0.987) Edges in largest WCC 352542 (0.999) Nodes in largest SCC 7464 (0.269) Edges in largest SCC 116268 (0.330) Average clustering coefficient 0.3295 Number of triangles 1478735 Fraction of closed triangles 0.1196 Diameter (longest shortest path) 14 90-percentile effective diameter 5.4 Source (citation) J. Leskovec, J. Kleinberg and C. Faloutsos. Graphs over Time: Densification Laws, Shrinking Diameters and Possible Explanations. ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD), 2005. J. Gehrke, P. Ginsparg, J. M. Kleinberg. Overview of the 2003 KDD Cup. SIGKDD Explorations 5(2): 149-151, 2003. Files File Description cit-HepTh.txt.gz Paper citation network of Arxiv High Energy Physics Theory category cit-HepTh-dates.txt.gz Time of nodes (paper submission time to Arxiv) cit-HepTh-abstracts.tar.gz Paper meta information (see below) Example of paper meta information: Paper: hep-th/0002031 From: Maulik K. Parikh Date: Fri, 4 Feb 2000 17:04:51 GMT (10kb) Title: Confinement and the AdS/CFT Correspondence Authors: D. S. Berman and Maulik K. Parikh Comments: 12 pages, 1 figure, RevTeX Report-no: SPIN-1999/25, UG-1999/42 Journal-ref: Phys.Lett. B483 (2000) 271-276 \\ We study the thermodynamics of the confined and unconfined phases of superconformal Yang-Mills in finite volume and at large N using the AdS/CFT correspondence. We discuss the necessary conditions for a smooth phase crossover and obtain an N-dependent curve for the phase boundary. \\ NOTE: an identical version this problem already appears in the UF Collection: cit-HepTh Pajek/HEP-th-new is identical to the SNAP/cit-HeptTh graph. Since it's small, I have decided to include both in the collection, to keep the SNAP/ collection complete. n: 27,770 nz: 352,807

SVD-based statistics: | |

norm(A) | 85.1607 |

min(svd(A)) | 6.73444e-66 |

cond(A) | 1.26456e+67 |

rank(A) | 21,616 |

null space dimension | 6,154 |

full numerical rank? | no |

singular value gap | 3.66194e+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.
*