Incomplete Star: An Incrementally Scalable Network Based on the Star Graph

  • Authors:
  • S. Latifi;N. Bagherzadeh

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1994

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Abstract

Introduces a new interconnection network for massively parallel systems called theincomplete star graph. The authors describe unique ways of interconnecting and labelingthe nodes and routing point-to-point communications within this network. In addition,they provide an analysis of a special class of incomplete star graph called C/sup n/splminus/1/ graph and obtain the diameter and average distance for this network. For theC/sup n/spl minus/1/ graph, an efficient broadcasting scheme is presented. Furthermore,it is proven that a C/sup n/spl minus/1/ with N nodes (i.e. N=m(n/spl minus/1)!) isHamiltonian if m=4 or m=3k, and k/spl ne/2.