SNAP/caHepPh
Collaboration network of Arxiv High Energy Physics
Name 
caHepPh 
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

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  Phenomenology collaboration network
Dataset information
Arxiv HEPPH (High Energy Physics  Phenomenology) collaboration network is
from the eprint arXiv and covers scientific collaborations between authors
papers submitted to High Energy Physics  Phenomenology 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 HEPPH 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
90percentile 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
caHepPh.txt.gz Collaboration network of Arxiv High Energy Physics category
