Collaboration network of Arxiv General Relativity
Name ca-GrQc
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
Null Space Dimension 438
Full Numerical Rank? no
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Networks from SNAP (Stanford Network Analysis Platform) Network Data Sets,     
Jure Leskovec                         
email jure at                                                  
General Relativity and Quantum Cosmology collaboration network                 
Dataset information                                                            
Arxiv GR-QC (General Relativity and Quantum Cosmology) collaboration network is
from the e-print arXiv and covers scientific collaborations between authors    
papers submitted to General Relativity and Quantum Cosmology category. If an   
author i co-authored a paper with author j, the graph contains a undirected    
edge from i to j. If the paper is co-authored 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 GR-QC 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                                         
90-percentile 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.                                                             
File    Description                                                            
ca-GrQc.txt.gz  Collaboration network of Arxiv General Relativity category