Matrix: SNAP/ca-CondMat

Description: Collaboration network of Arxiv Condensed Matter

SNAP/ca-CondMat graph
(undirected graph drawing)

scc of SNAP/ca-CondMat

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  • download as a MATLAB mat-file, file size: 527 KB. Use UFget(2296) or UFget('SNAP/ca-CondMat') in MATLAB.
  • download in Matrix Market format, file size: 396 KB.
  • download in Rutherford/Boeing format, file size: 312 KB.

    Matrix properties
    number of rows23,133
    number of columns23,133
    # strongly connected comp.567
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    Cholesky candidate?no
    positive definite?no

    authorJ. Leskovec, J. Kleinberg and C. Faloutsos
    editorJ. Leskovec
    kindundirected graph
    2D/3D problem?no

    Additional fieldssize and type
    nodenamefull 23133-by-1


    Networks from SNAP (Stanford Network Analysis Platform) Network Data Sets,    
    Jure Leskovec                        
    email jure at                                                 
    Condense Matter collaboration network                                         
    Dataset information                                                           
    Arxiv COND-MAT (Condense Matter Physics) collaboration network is from the    
    e-print arXiv and covers scientific collaborations between authors papers     
    submitted to Condense Matter 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
    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 COND-MAT 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                                        
    90-percentile 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.                                                            
    File    Description                                                           
    ca-CondMat.txt.gz   Collaboration network of Arxiv Condensed Matter category  

    SVD-based statistics:
    null space dimension956
    full numerical rank?no
    singular value gap1.26088e+10

    singular values (MAT file):click here
    SVD method used:s = svd (full (A))

    SNAP/ca-CondMat svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.