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A number of Cayley-graph interconnection structures, such as cube-connected cycles, butterfly and biswapped networks, are known to be derivable by unified group semidirect product construction. In this paper, we extend these known group semidirect product constructions via a general algebraic construction based on group semidirect product. We show that under certain conditions, graphs based on the...
Many real-life networks, such as the WWW, biological realms, and social networks are small-world networks. Most previous researches on small-world networks have been based on probabilistic methods. In this paper, we present a general method by using Cayley graph to build deterministic small-world networks. We also analyze the cluster topology of the Cayley graph with small world properties by constructing...
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