On resource placements in 3D tori

  • Authors:
  • Bader F. Al Bdaiwi;Bella Bose

  • Affiliations:
  • Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait;School of Electrical Engineering and Computer Science, Oregon State University, Corvallis, OR

  • Venue:
  • Journal of Parallel and Distributed Computing - Special section best papers from the 2002 international parallel and distributed processing symposium
  • Year:
  • 2003

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Abstract

Perfect distance-d placements in 3D tori is investigated. It is proved that there exists no linear perfect distance-1 placement other than the known ones so far. Perfect distance-d placements in 3D tori, where at least one of the dimensions is 2, are presented. Furthermore, quasi-perfect placements for 3D tori are introduced.