Matrix: SNAP/ca-AstroPh

Description: Collaboration network of Arxiv Astro Physics

SNAP/ca-AstroPh graph
(undirected graph drawing)

scc of SNAP/ca-AstroPh

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  • download as a MATLAB mat-file, file size: 957 KB. Use UFget(2295) or UFget('SNAP/ca-AstroPh') in MATLAB.
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    Matrix properties
    number of rows18,772
    number of columns18,772
    # strongly connected comp.290
    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 18772-by-1


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

    SVD-based statistics:
    null space dimension391
    full numerical rank?no
    singular value gap5.1072e+09

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero

    SNAP/ca-AstroPh 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.