• DocumentCode
    795070
  • Title

    Small diameter symmetric networks from linear groups

  • Author

    Campbell, L. ; Carlsson ; Dinneen, Michael J. ; Fellows, M.R. ; Langston, M.A. ; Moore, J.W. ; Sexton

  • Author_Institution
    Dept. of Electr. Eng., Idaho Univ., Moscow, ID
  • Volume
    41
  • Issue
    2
  • fYear
    1992
  • fDate
    2/1/1992 12:00:00 AM
  • Firstpage
    218
  • Lastpage
    220
  • Abstract
    A report is presented on a collection of constructions of symmetric networks that provide the largest known values for the number of nodes that can be placed in a network of a given degree and diameter. Some of the constructions are in the range of current potential engineering significance. The constructions are Cayley graphs of linear groups obtained by experimental computation
  • Keywords
    graph theory; group theory; multiprocessor interconnection networks; Cayley graphs; linear groups; nodes; symmetric networks; Computer science; Concurrent computing; Cryptographic protocols; Laboratories; Local area networks; Mathematics; Multiprocessor interconnection networks; Organizing; Parallel processing; Routing;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/12.123397
  • Filename
    123397