Fibonacci Cubes-A New Interconnection Topology

  • Authors:
  • W. J. Hsu

  • Affiliations:
  • -

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1993

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Abstract

A novel interconnection topology called the Fibonacci cube is shown to possessattractive recurrent structures in spite of its asymmetric and relatively sparseinterconnections. Since it can be embedded as a subgraph in the Boolean cube(hypercube) and it is also a supergraph of other structures, the Fibonacci cube may findapplications in fault-tolerant computing. For a graph with N nodes, the diameter, theedge connectivity, and the node connectivity of the Fibonacci cube are in the logarithmicorder of N. It is also shown that common system communication primitives can beimplemented efficiently.