Abstract
In this paper, we propose a universal network, called recursive dual-net (RDN). It can be used as a candidate of effective interconnection networks for massively parallel computers. The RDN is generated by recursively applying dual-construction on a base-network. Given a regular and symmetric graph of size n and node-degree d, the dual-construction generates a regular and symmetric graph of size 2n 2 and node-degree d + 1. The RDN has many interesting properties including low node-degree and small diameter. For example, we can construct an RDN connecting more than 3-million nodes with only 6 links per node and a diameter of 22. We investigate the topological properties of the RDN and compare it to other networks including 3D torus, WK-recursive network, hypercube, cube-connected-cycle, and dual-cube. We also describe an efficient routing algorithm for RDN.
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Li, Y., Peng, S., Chu, W. (2009). The Recursive Dual-Net and Its Applications. In: Dou, Y., Gruber, R., Joller, J.M. (eds) Advanced Parallel Processing Technologies. APPT 2009. Lecture Notes in Computer Science, vol 5737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03644-6_29
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DOI: https://doi.org/10.1007/978-3-642-03644-6_29
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