• DocumentCode
    1389772
  • Title

    Hamiltonian Decomposition of the Rectangular Twisted Torus

  • Author

    Jha, Pranava K. ; Prasad, Rachna

  • Author_Institution
    Dept. of Comput. Sci., St. Cloud State Univ., St. Cloud, MN, USA
  • Volume
    23
  • Issue
    8
  • fYear
    2012
  • Firstpage
    1504
  • Lastpage
    1507
  • Abstract
    We show that the 2atimes a rectangular twisted torus introduced by Cámara et al. [5] is edge decomposable into two Hamiltonian cycles. In the process, the 2a × a × a prismatic twisted torus is edge decomposable into three Hamiltonian cycles, and the 2a × a × a prismatic doubly twisted torus admits two edge-disjoint Hamiltonian cycles.
  • Keywords
    graph theory; Hamiltonian decomposition; edge decomposable; edge-disjoint Hamiltonian cycles; prismatic doubly twisted torus; prismatic twisted torus; rectangular twisted torus; Color; Computers; Hypercubes; Publishing; Topology; Graphs and networks; Hamiltonian decomposition; fault tolerance.; multiprocessor interconnection; rectangular twisted torus;
  • fLanguage
    English
  • Journal_Title
    Parallel and Distributed Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9219
  • Type

    jour

  • DOI
    10.1109/TPDS.2011.288
  • Filename
    6095529
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1389772