SNAP/caHepTh
Collaboration network of Arxiv High Energy Physics Theory
Name 
caHepTh 
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 
3.172778e43 
Condition Number 
9.781601e+43

Rank 
9,040 
sprank(A)rank(A) 

Null Space Dimension 
837 
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
High Energy Physics  Theory collaboration network
Dataset information
Arxiv HEPTH (High Energy Physics  Theory) collaboration network is from the
eprint arXiv and covers scientific collaborations between authors papers
submitted to High Energy Physics  Theory 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 HEPTH 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
90percentile 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.
Files
File Description
caHepTh.txt.gz Collaboration network of Arxiv High Energy Physics
Theory category
