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The Star-Pyramid Graph: An Attractive Alternative to the Pyramid

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Advances in Computer Systems Architecture (ACSAC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3740))

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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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© 2005 Springer-Verlag Berlin Heidelberg

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Imani, N., Sarbazi-Azad, H. (2005). The Star-Pyramid Graph: An Attractive Alternative to the Pyramid. In: Srikanthan, T., Xue, J., Chang, CH. (eds) Advances in Computer Systems Architecture. ACSAC 2005. Lecture Notes in Computer Science, vol 3740. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11572961_41

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  • DOI: https://doi.org/10.1007/11572961_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29643-0

  • Online ISBN: 978-3-540-32108-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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