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The dimensions of twisted cubes in the original definition of twisted cubes are only limited to odd integers. In this paper, we first extend the dimensions of twisted cubes to all the positive integers. Then, we introduce the concept of the set of restricted faulty nodes into twisted cubes. We further prove that under the condition that each node of the n-dimensional twisted cube TQn has at least...
In this paper, we study the restricted connectivity and restricted fault-diameters of locally twisted cubes under the condition that each node has at least one fault-free neighbor. First, we prove that under the condition that if each node of an n-dimensional locally twisted cube LTQn has at least one fault-free neighbor its restricted connectivity is 2n-2, the same as that of the n-dimensional hypercube...
The crossed cube is an important variation of the hypercube. It possesses many desirable properties for interconnection networks. Hamiltonicity is a critical property in interconnection networks. In this paper, we study fault-tolerant embedding algorithms of Hamiltonian paths and cycles in crossed cubes. We provide two algorithms Hamiltonian path and Hamiltonian cycle. For any integer n ges 3, letting...
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