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Enhanced hypercube Qn,k is one of the attractive variant of hypercube. In this paper, we show that the n-dimensional enhanced hypercube is bipanconnected when n and k have the same parity. We also show that the n-dimensional enhanced hypercube is Hamiltonian-connected when n and k have the different parity.
Recently, many variants of hypercube have been investigated. In this article, we mainly focus our attention on a more hypercube-like network, the enhanced hypercube. The n-dimensional enhanced hypercube, denoted by Qn,k, possesses many properties superior to the hypercube. Many properties of enhanced hypercube have been proposed, however, this paper aims to show that when the network has a faulty...
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