Algorithms and Properties of a New Two-Level Network with Folded Hypercubes as Basic Modules

  • Authors:
  • Dyi-Rong Duh;Gen-Huey Chen;Jywe-Fei Fang

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1995

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Abstract

In this paper, a new two-level interconnection network, called a hierarchical folded-hypercube network (HFN, for short), is proposed. The HFN takes folded hypercubes as basic modules which are connected in a complete manner. We investigate the topological properties of the HFN, including the diameter, cost, average distance, embedding, connectivity, container, 驴-wide diameter, and node-fault diameter. We show that the HFN can emulate algorithms which are executable on the ring or the mesh-connected computer with the same time complexities in big-O notation. Moreover, the HFN can embed a folded hypercube having the same number of nodes with constant dilation. We compute the diameter, node connectivity, best container, 驴-wide diameter, and node-fault diameter of the HFN. We present optimal routing and broadcasting algorithms for the HFN. The semigroup computation and descend/ascend algorithms can be executed as well on the HFN.