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The hypercube has been widely used as the interconnection network in parallel computers. The crossed cube is an variation of hypercube and preserves many of its desirable properties. The hierarchical crossed cube draws upon constructions used within the hypercube and also the crossed cube. The hierarchical crossed cube is suitable for massively parallel systems with thousands of processors and owns...
The hypercube has been widely used as the interconnection network in parallel computers. The crossed cube is a variation of hypercube and preserves many of its desirable properties. The hierarchical crossed cube draws upon constructions used within the hypercube and also the crossed cube. The hierarchical crossed cube is suitable for massively parallel systems with thousands of processors and owns...
The problem of whether or not there are mutually independent hamiltonian cycles in interconnection networks has attracted a great attention in recent years. In this paper, we will show that most of n-dimensional hypercube-like graphs have two mutually independent hamiltonian cycles. Moreover, we also develop a systematic linear time algorithm for constructing two mutually independent hamiltonian cycles...
We study some topological and algorithmic properties of a recently defined hierarchical interconnection network, the hierarchical crossed cube HCC(k,n), which draws upon constructions used within the well-known hypercube and also the crossed cube. In particular, we study: the construction of shortest paths between arbitrary vertices in HCC(k,n); the connectivity of HCC(k,n); and one-to-all broadcasts...
Many parallel and distributed algorithms have been developed using such regular data structure as linear arrays, rings, trees, and meshes on hypercube-type interconnection networks. The augmented cube AQn, proposed by Choudum and Sunitha, is a derivative of hypercubes with good geometric nature and retains all the favorable properties of the hypercube. The pancyclic properties of the n-dimensional...
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