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Published in:
2006 | OriginalPaper | Chapter
Further Properties of Cayley Digraphs and Their Applications to Interconnection Networks
Authors : Wenjun Xiao, Behrooz Parhami
Published in: Theory and Applications of Models of Computation
Publisher: Springer Berlin Heidelberg
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In this short communication, we extend the known relationships between Cayley digraphs and their subgraphs and coset graphs with respect to subgroups and obtain some general results on homomorphism and distance between them. Intuitively, our results correspond to synthesizing alternative, more economical, interconnection networks by reducing the number of dimensions and/or link density of existing networks via mapping and pruning. We discuss applications of these results to well-known and useful interconnection networks such as hexagonal and honeycomb meshes.