Diameter and Routing in Enhanced OTIS Cube

  • Authors:
  • Rajib K. Das

  • Affiliations:
  • Tezpur University, India

  • Venue:
  • ICCTA '07 Proceedings of the International Conference on Computing: Theory and Applications
  • Year:
  • 2007

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Abstract

Enhanced OTIS-cube (E-OTIS-Q_{n}), a variation of the OTIS-cube (OTIS-Q_{n}) was proposed in [1]. E-OTIS-Q_n is regular of degree n + 1 and is obtained from the normal OTIS-cube by adding some extra links. In [1], it was shown that the diameter of E-OTIS-Qn is less than or equal to \left\lfloor {\frac{{4n + 5}} {3}} \right\rfloorand a heuristic for point-to-point routing has been proposed. In this paper, an optimal algorithm for one-to-one routing in E-OTIS-Q_n has been developed. We have shown that the diameter of E-OTIS-Qn is equal to \left\lfloor {\frac{{4n + 4}} {3}} \right\rfloorwhich is almost two-third of the diameter of OTIS-Q_n.