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The n-dimensional folded hypercube FQn is an important variance of the hypercube Qn. It has many attractive properties and has received many researchers' extensive attention. In this paper, we discuss two kinds of local-connectivity based on the folded hypercube network FQ„: local k-sub-folded-hypercube-connectivity and local sub-folded-hypercube-connectivity. Each k-sub-folded-hypercube FQk contains...
In this paper, the edge pancyclicity of n-dimensional augmented hypercubes AQ_n and their edge-hamiltonian have been investigated. This study demonstrates that each edge lies on all cycles with length from 3 to 2^n in AQ_n and each edge lies on a hamilton cycle in faulty AQ_n with the number of fault links no more than 2n-3: The properties obtained in this paper theoretically guarantee excellent edge-fault-tolerant...
The architecture of an interconnection network is usually represented by a graph, and a graph G is Hamiltonian if it has a Hamiltonian cycle which traverses every node of G exactly once. In this article, we analyze the conditional edge-fault Hamiltonicity of the enhanced hypercube, which is an attractive variant of hypercube and can be obtained by adding some complementary edges. For any n-dimensional...
Duo to its topological advantages, the enhanced hypercube network Qn,k (n, k are positive integers, 1 ≤ k ≤ n−1) is one of the most versatile and efficient interconnection networks (networks for short) so far discovered for parallel computation. To fully realize its potential in those networks where reliability and speed are critical, the topological properties of the enhanced hypercube network need...
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