Paper Details

Cayley graphs and transputer network configuration

Authors: East, Ian R., Jassim, Sabah

Abstract:

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.

Proceedings:

OUG-13: Real-Time Systems with Transputers, Hussein S. M. Zedan, 1990, pp 168 - 174 published by IOS Press, Amsterdam

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