%T Cayley graphs and transputer network configuration
%A Ian R. East, Sabah Jassim
%E Hussein S. M. Zedan
%B OUG\-13: Real\-Time Systems with Transputers
%X The nature and use of Cayley graphs in understanding network
topology design will be explained. The hypercube topology
will be presented in group\-theoretic form as an
illustration and its isomorphism with tori, up to order
four, will be shown. It will also be shown how to use the
Cayley graph formulation to scalably configure a hypercube
(with node process independent of identity within network).
Lastly, we discuss the application of the Cayley formalism
to infer and investigate new topologies which exhibit
superior scaling of size and density to that of the
hypercube, but which retain degree four and hence are
suitable for transputer networks.
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