• DocumentCode
    1572986
  • Title

    On clustering coefficients of graphs with the fixed numbers of vertices and edges

  • Author

    Takahashi, Norikazu

  • Author_Institution
    Dept. of Inf., Kyushu Univ., Fukuoka, Japan
  • fYear
    2009
  • Firstpage
    814
  • Lastpage
    817
  • Abstract
    The problem of finding the minimum and maximum values of the clustering coefficients of graphs with the fixed numbers of vertices and edges is considered. It is shown that when a graph has n vertices and the average degree is n/2 the clustering coefficient can take values from 0 to 1 - 1/2(n - 1).
  • Keywords
    computational geometry; graph theory; graph clustering coefficient; maximum value; minimum value; Clustering algorithms; Complex networks; Informatics; Tree graphs;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuit Theory and Design, 2009. ECCTD 2009. European Conference on
  • Conference_Location
    Antalya
  • Print_ISBN
    978-1-4244-3896-9
  • Electronic_ISBN
    978-1-4244-3896-9
  • Type

    conf

  • DOI
    10.1109/ECCTD.2009.5275108
  • Filename
    5275108