Embedding Binary Trees into Crossed Cubes

  • Authors:
  • Saïd Bettayeb;Priyalal Kulasinghe

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1995

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Abstract

The recently introduced interconnection network, crossed cube, has attracted much attention in the parallel processing area due to its many attractive features. Like the ordinary hypercube, the n-dimensional crossed cube is a regular graph with 2n vertices and n2n驴1 edges. The diameter of the crossed cube is approximately half that of the ordinary hypercube. These advantages of the crossed cube motivated the study of how well it can simulate other networks such as the complete binary tree. In this paper, we show that the (2n驴 1)-node complete binary tree can be embedded into the n-dimensional crossed cube with dilation 1.