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This book presents the development of a family of
interconnection networks and its associated fault-
tolerant routing strategy. The objectives of this
work are to unify and improve upon the attractive
structural properties of the n-dimensional binary
hypercubes (n-cubes) and several hypercubic variants
while offering competitive applications emulation
and communications performances. We have achieved in
this single family of networks, combined structural
as well as applications emulation and communications
performance improvements over several
contemporaries. Depending on requirements, there are
classes of Josephus Cubes designed with, for
example, reduced diameter, better incremental
expandability and more efficient embedding of
applications. Complete Josephus Cubes also show
improved fault tolerance over the n-cube and its
variants. Notably, our fault-tolerant routing
strategy compares favourably with existing
approaches and can be easily adapted for use on n-
cubes, Folded Hypercubes as well as Enhanced
Hypercubes. A proposed hardware design based on
standard components for a corresponding router is
also available.
interconnection networks and its associated fault-
tolerant routing strategy. The objectives of this
work are to unify and improve upon the attractive
structural properties of the n-dimensional binary
hypercubes (n-cubes) and several hypercubic variants
while offering competitive applications emulation
and communications performances. We have achieved in
this single family of networks, combined structural
as well as applications emulation and communications
performance improvements over several
contemporaries. Depending on requirements, there are
classes of Josephus Cubes designed with, for
example, reduced diameter, better incremental
expandability and more efficient embedding of
applications. Complete Josephus Cubes also show
improved fault tolerance over the n-cube and its
variants. Notably, our fault-tolerant routing
strategy compares favourably with existing
approaches and can be easily adapted for use on n-
cubes, Folded Hypercubes as well as Enhanced
Hypercubes. A proposed hardware design based on
standard components for a corresponding router is
also available.