SNAP/caCondMat
Collaboration network of Arxiv Condensed Matter
Name 
caCondMat 
Group 
SNAP 
Matrix ID 
2296 
Num Rows

23,133 
Num Cols

23,133 
Nonzeros

186,936 
Pattern Entries

186,936 
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

567 
Num Explicit Zeros

0 
Pattern Symmetry

100% 
Numeric Symmetry

100% 
Cholesky Candidate

no 
Positive Definite

no 
Type

binary 
SVD Statistics 
Matrix Norm 
3.795411e+01 
Minimum Singular Value 
5.520962e78 
Condition Number 
6.874547e+78

Rank 
22,177 
sprank(A)rank(A) 

Null Space Dimension 
956 
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
Condense Matter collaboration network
Dataset information
Arxiv CONDMAT (Condense Matter Physics) collaboration network is from the
eprint arXiv and covers scientific collaborations between authors papers
submitted to Condense Matter 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 CONDMAT section.
Dataset statistics
Nodes 23133
Edges 186936
Nodes in largest WCC 21363 (0.923)
Edges in largest WCC 182628 (0.977)
Nodes in largest SCC 21363 (0.923)
Edges in largest SCC 182628 (0.977)
Average clustering coefficient 0.6334
Number of triangles 173361
Fraction of closed triangles 0.2643
Diameter (longest shortest path) 15
90percentile effective diameter 6.6
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
caCondMat.txt.gz Collaboration network of Arxiv Condensed Matter category
