• DocumentCode
    1056314
  • Title

    Doing the twist: diagonal meshes are isomorphic to twisted toroidal meshes

  • Author

    Pearlmutter, Barak A.

  • Author_Institution
    Dept. of Cognitive Sci., California Univ., San Diego, La Jolla, CA, USA
  • Volume
    45
  • Issue
    6
  • fYear
    1996
  • fDate
    6/1/1996 12:00:00 AM
  • Firstpage
    766
  • Lastpage
    767
  • Abstract
    We show that a k×n diagonal mesh is isomorphic to a (n+k)/2×(n+k)/2-(n-k)/2×(n-k)/2 twisted toroidal mesh, i.e., a network similar to a standard (n+k)/2×(n+k)/2 toroidal mesh, but with opposite handed twists of (n-k)/2 in the two directions, which results in a loss of ((n-k)/2)2 nodes
  • Keywords
    multiprocessor interconnection networks; diagonal meshes; grid networks; interconnection networks; mesh-connected topologies; twisted toroidal meshes; Character generation; Joining IEEE; Network topology; Postal services; Power distribution; Testing;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/12.506434
  • Filename
    506434
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1056314