SNAP/caGrQc
Collaboration network of Arxiv General Relativity
Name 
caGrQc 
Group 
SNAP 
Matrix ID 
2297 
Num Rows

5,242 
Num Cols

5,242 
Nonzeros

28,980 
Pattern Entries

28,980 
Kind

Undirected Graph 
Symmetric

Yes 
Date

2003 
Author

J. Leskovec, J. Kleinberg and C. Faloutsos 
Editor

J. Leskovec 
Structural Rank 

Structural Rank Full 

Num Dmperm Blocks


Strongly Connect Components

355 
Num Explicit Zeros

0 
Pattern Symmetry

100% 
Numeric Symmetry

100% 
Cholesky Candidate

no 
Positive Definite

no 
Type

binary 
SVD Statistics 
Matrix Norm 
4.561666e+01 
Minimum Singular Value 
0 
Condition Number 
Inf

Rank 
4,804 
sprank(A)rank(A) 

Null Space Dimension 
438 
Full Numerical Rank? 
no 
Download Singular Values 
MATLAB

Download 
MATLAB
Rutherford Boeing
Matrix Market

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
General Relativity and Quantum Cosmology collaboration network
Dataset information
Arxiv GRQC (General Relativity and Quantum Cosmology) collaboration network is
from the eprint arXiv and covers scientific collaborations between authors
papers submitted to General Relativity and Quantum Cosmology category. If an
author i coauthored a paper with author j, the graph contains a undirected
edge from i to j. If the paper is coauthored by k authors this generates a
completely connected (sub)graph on k nodes.
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 GRQC section.
Dataset statistics
Nodes 5242
Edges 28980
Nodes in largest WCC 4158 (0.793)
Edges in largest WCC 26850 (0.927)
Nodes in largest SCC 4158 (0.793)
Edges in largest SCC 26850 (0.927)
Average clustering coefficient 0.5296
Number of triangles 48260
Fraction of closed triangles 0.6298
Diameter (longest shortest path) 17
90percentile effective diameter 7.6
Source (citation)
J. Leskovec, J. Kleinberg and C. Faloutsos. Graph Evolution: Densification and
Shrinking Diameters. ACM Transactions on Knowledge Discovery from Data (ACM
TKDD), 1(1), 2007.
Files
File Description
caGrQc.txt.gz Collaboration network of Arxiv General Relativity category
