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Paper   IPM / Computer Science / 11101
School of Computer Science
  Title:   The star-pyramid graph: an attractive alternative to the pyramid
  Author(s): 
1.  N. Imani
2.  H. Sarbazi-Azad
  Status:   In Proceedings
  Proceeding: ACSAC
  Vol.:  3740
  Year:  2005
  Pages:   509-519
  Publisher(s):   LNCS, Springer Berlin / Heidelberg
  Supported by:  IPM
  Abstract:
This paper introduces a new class of interconnection networks named Star-Pyramid, SP(n). A star-pyramid of dimension n is formed by piling up star graphs of dimensions 1 to n in a hierarchy, connecting any node in each i-dimensional star, 1< i = n, to a node in (i - 1)-star whose index is reached by removing the i symbol from the index of the former node in the i-star graph. Having extracted the properties of the new topology, featuring topological properties, a simple routing algorithm and Hamiltonicity then we compare the network properties of the proposed topology and the well-known pyramid topology. We show that the star-pyramid is more fault-tolerant and has less network diameter than its alternative, the pyramid. Finally, we propose a variant of star-pyramid, namely the generic star-pyramid as a topology with better scalability, fault-tolerance, and diameter.

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