ISSN : 1796-203X
Volume : 3    Issue : 10    Date : October 2008

A Hypercube-based Scalable Interconnection Network for Massively Parallel Computing
Youyao Liu, Jungang Han, and Huimin Du
Page(s): 58-65
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An important issues in the design of interconnection networks for massively parallel computers is
scalability. A new scalable interconnection network topology, called Double-Loop Hypercube (DLH),
is proposed. The DLH network combines the positive features of the hypercube topology, such as
small diameter, high connectivity, symmetry and simple routing, and the scalability and constant
node degree of a new double-loop topology. The DLH network can maintain a constant node
degree regardless of the increase in the network size. The nodes of the DLH network adopt the
hybrid coding combining Johnson code and Gray code. The hybrid coding scheme can make
routing algorithms simple and efficient. Both unicasting and broadcasting routing algorithms are
designed for the DLH network, and it is based on the hybrid coding scheme. A detailed analysis
shows that the DLH network is a better interconnection network in the properties of topology and the
performance of communication. Moreover, it also adopts a threedimensional optical design
methodology based on free-space optics. The optical implementation has totally spaceinvariant
connection patterns at every node, which enables the DLH to be highly amenable to optical
implementation using simple and efficient large space-bandwidth product space-invariant optical

Index Terms
interconnection network, scalability, massively parallel computing, hypercube, double-loop, optical