SNAP/caAstroPh
Collaboration network of Arxiv Astro Physics
Name 
caAstroPh 
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 
sprank(A)rank(A) 

Null Space Dimension 
391 
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
Astro Physics collaboration network
Dataset information
Arxiv ASTROPH (Astro Physics) collaboration network is from the eprint arXiv
and covers scientific collaborations between authors papers submitted to Astro
Physics 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 ASTROPH 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
90percentile 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.
Files
File Description
caAstroPh.txt.gz Collaboration network of Arxiv Astro Physics category
