Collaboration network of Arxiv High Energy Physics Theory
Name ca-HepTh
Group SNAP
Matrix ID 2299
Num Rows 9,877
Num Cols 9,877
Nonzeros 51,971
Pattern Entries 51,971
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 429
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate no
Positive Definite no
Type binary
SVD Statistics
Matrix Norm 3.103485e+01
Minimum Singular Value 3.172778e-43
Condition Number 9.781601e+43
Rank 9,040
Null Space Dimension 837
Full Numerical Rank? no
Download Singular Values MATLAB
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Networks from SNAP (Stanford Network Analysis Platform) Network Data Sets,     
Jure Leskovec                         
email jure at                                                  
High Energy Physics - Theory collaboration network                             
Dataset information                                                            
Arxiv HEP-TH (High Energy Physics - Theory) collaboration network is from the  
e-print arXiv and covers scientific collaborations between authors papers      
submitted to High Energy Physics - Theory 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 HEP-TH section.             
Dataset statistics                                                             
Nodes   9877                                                                   
Edges   51971                                                                  
Nodes in largest WCC    8638 (0.875)                                           
Edges in largest WCC    49633 (0.955)                                          
Nodes in largest SCC    8638 (0.875)                                           
Edges in largest SCC    49633 (0.955)                                          
Average clustering coefficient  0.4714                                         
Number of triangles     28339                                                  
Fraction of closed triangles    0.284                                          
Diameter (longest shortest path)    17                                         
90-percentile effective diameter    7.5                                        
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-HepTh.txt.gz     Collaboration network of Arxiv High Energy Physics         
                     Theory category