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. © 2010 Published by Elsevier Inc.
CITATION STYLE
Imani, N., & Sarbazi-Azad, H. (2010). Properties of a hierarchical network based on the star graph. Information Sciences, 180(14), 2802–2813. https://doi.org/10.1016/j.ins.2010.03.029
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