SNAP/ca-HepPh

Collaboration network of Arxiv High Energy Physics
Name ca-HepPh
Group SNAP
Matrix ID 2298
Num Rows 12,008
Num Cols 12,008
Nonzeros 237,010
Pattern Entries 237,010
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 278
Num Explicit Zeros 0
Pattern Symmetry 100%
Numeric Symmetry 100%
Cholesky Candidate no
Positive Definite no
Type binary
SVD Statistics
Matrix Norm 2.449394e+02
Minimum Singular Value 0
Condition Number Inf
Rank 11,363
sprank(A)-rank(A)
Null Space Dimension 645
Full Numerical Rank? no
Download Singular Values MATLAB
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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 - Phenomenology collaboration network                      
                                                                               
Dataset information                                                            
                                                                               
Arxiv HEP-PH (High Energy Physics - Phenomenology) collaboration network is    
from the e-print arXiv and covers scientific collaborations between authors    
papers submitted to High Energy Physics - Phenomenology 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-PH section.             
                                                                               
Dataset statistics                                                             
Nodes   12008                                                                  
Edges   237010                                                                 
Nodes in largest WCC    11204 (0.933)                                          
Edges in largest WCC    235268 (0.993)                                         
Nodes in largest SCC    11204 (0.933)                                          
Edges in largest SCC    235268 (0.993)                                         
Average clustering coefficient  0.6115                                         
Number of triangles     3358499                                                
Fraction of closed triangles    0.6595                                         
Diameter (longest shortest path)    13                                         
90-percentile effective diameter    5.8                                        
                                                                               
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                                                            
ca-HepPh.txt.gz     Collaboration network of Arxiv High Energy Physics category