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肖文俊

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期刊论文

Some mathematical properties of Cayley digraphs with applications to interconnection network design

肖文俊WENJUN XIAO†‡ and BEHROOZ PARHAMI*§

International Journal of Computer Mathematics Vol. 82, No. 5, May 2005, 521-528,-0001,():

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摘要/描述

We consider the relationships between Cayley digraphs and their coset graphs with respect to subgroups and obtain some general results on homomorphism and broadcasting between them. We also derive a general factorization theorem on subgraphs of Cayley digraphs by their automorphism groups. We discuss the applications of these results to well-known interconnection networks such as the butterfly network, the de Bruijn network, the cube-connected cycles network and the shuffle-exchange network.

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