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We define an interconnection network AQ n,k which we call the augmented k-ary n-cube by extending a k-ary n-cube in a manner analogous to the existing extension of an n-dimensional hypercube to an n-dimensional augmented cube. We prove that the augmented k-ary n-cube AQ n,k has a number of attractive properties (in the context of parallel computing). For example, we show that the augmented...
The k-ary n-cube has been one of the most popular interconnection networks for massively parallel systems. In this paper, we investigate the edge-bipancyclicity of k-ary n-cubes with faulty nodes and edges. It is proved that every healthy edge of the faulty k-ary n-cube with f v faulty nodes and f e faulty edges lies in a fault-free cycle of every even length from 4 to k n ...
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