• DocumentCode
    1410000
  • Title

    On the diameter of a class of random graphs

  • Author

    Philips, Thomas K. ; Towsley, Donald F. ; Wolf, Jack K.

  • Author_Institution
    IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA
  • Volume
    36
  • Issue
    2
  • fYear
    1990
  • fDate
    3/1/1990 12:00:00 AM
  • Firstpage
    285
  • Lastpage
    288
  • Abstract
    The diameter of a class of random directed graphs in which the outdegree of each vertex is constrained to be exactly k is examined. Vertices connect themselves to k other distinct vertices with outwardly directed edges, all possible sets of k vertices being chosen with equal probability. It is shown that the diameter of such a random graph almost surely takes on only one of two values
  • Keywords
    directed graphs; diameter; random directed graphs; Magnetic recording; Tree graphs; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.52474
  • Filename
    52474