• DocumentCode
    1058367
  • Title

    Optimal simulation of linear multiprocessor architectures on multiply-twisted cube using generalized Gray Codes

  • Author

    Zheng, S.Q. ; Latifi, Shahram

  • Author_Institution
    Dept. of Comput. Sci., Louisiana State Univ. Baton Rouge, LA, USA
  • Volume
    7
  • Issue
    6
  • fYear
    1996
  • fDate
    6/1/1996 12:00:00 AM
  • Firstpage
    612
  • Lastpage
    619
  • Abstract
    We consider the problem of simulating linear arrays and rings on the multiply twisted cube. We introduce a new concept, the reflected link label sequence, and use it to define a generalized Gray Code (GGC). We show that GGCs can be easily used to identify Hamiltonian paths and cycles in the multiply twisted cube. We also give a method for embedding a ring of arbitrary number of nodes into the multiply twisted cube
  • Keywords
    Gray codes; multiprocessor interconnection networks; virtual machines; GGCs; Hamiltonian paths; generalized Gray Codes; hypercube; interconnection network; linear array simulation; linear multiprocessor architectures; multiply twisted cube; optimal simulation; parallel computing; reflected link label sequence; Computational modeling; Computer architecture; Computer science; Data communication; Fault tolerance; Hypercubes; Multiprocessor interconnection networks; Sorting; Switches; Tree graphs;
  • fLanguage
    English
  • Journal_Title
    Parallel and Distributed Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9219
  • Type

    jour

  • DOI
    10.1109/71.506700
  • Filename
    506700