Collaboration network of Arxiv Astro Physics
Name ca-AstroPh
Group SNAP
Matrix ID 2295
Num Rows 18,772
Num Cols 18,772
Nonzeros 396,160
Pattern Entries 396,160
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 290
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate no
Positive Definite no
Type binary
SVD Statistics
Matrix Norm 9.444154e+01
Minimum Singular Value 0
Condition Number Inf
Rank 18,381
Null Space Dimension 391
Full Numerical Rank? no
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Networks from SNAP (Stanford Network Analysis Platform) Network Data Sets,    
Jure Leskovec                        
email jure at                                                 
Astro Physics collaboration network                                           
Dataset information                                                           
Arxiv ASTRO-PH (Astro Physics) collaboration network is from the e-print arXiv
and covers scientific collaborations between authors papers submitted to Astro
Physics 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 ASTRO-PH section.          
Dataset statistics                                                            
Nodes   18772                                                                 
Edges   396160                                                                
Nodes in largest WCC    17903 (0.954)                                         
Edges in largest WCC    394003 (0.995)                                        
Nodes in largest SCC    17903 (0.954)                                         
Edges in largest SCC    394003 (0.995)                                        
Average clustering coefficient  0.6306                                        
Number of triangles     1351441                                               
Fraction of closed triangles    0.318                                         
Diameter (longest shortest path)    14                                        
90-percentile effective diameter    5.1                                       
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-AstroPh.txt.gz   Collaboration network of Arxiv Astro Physics category