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Properties of a hierarchical network based on the star graph

Imani, N ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ins.2010.03.029
  3. Publisher: 2010
  4. Abstract:
  5. This paper introduces a new class of interconnection networks named star-pyramid. An n-level star-pyramid 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 the (i - 1)-dimensional star whose index is reached by removing the i symbol from the index of the former node in the i-dimensional star graph. Having extracted the properties of the new topology, featuring topological properties, a minimal routing algorithm, a simple but efficient broadcast algorithm, Hamiltonicity and pancyclicity, we then compare the network properties of the proposed topology and the well-known pyramid topology. We show that the star-pyramid has some more attractive properties than its equivalent pyramid. Finally, we propose two variants of star-pyramid, namely the generic star-pyramid and wrapped star-pyramid, as topologies with improved scalability, fault-tolerance, and diameter
  6. Keywords:
  7. Topological properties ; Broadcast algorithm ; Hamiltonicity ; Hierarchical network ; Multicomputers ; Network properties ; Pancyclicity ; Pyramid ; Star graphs ; Fault tolerance ; Interconnection networks ; Quality assurance ; Topology
  8. Source: Information Sciences ; Volume 180, Issue 14 , July , 2010 , Pages 2802-2813 ; 00200255 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0020025510001490