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Path Embedding on Folded Hypercubes

机译:嵌入在折叠的超机上的路径

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摘要

We analyze some edge-fault-tolerant properties of the folded hypercube, which is a variant of the hypercube obtained by adding an edge to every pair of nodes with complementary address. We show that an n-dimensional folded hypercube is (n - 2)-edge-fault-tolerant Hamiltonian-connected when n( ≥ 2) is even, (n - 1)-edge-fault-tolerant strongly Hamiltonian-laceable when n(≥1) is odd, and (n - 2)-edge-fault-tolerant hyper Hamiltonian-laceable when n(≥3) is odd.
机译:我们分析折叠超立机的一些边缘容错属性,这是通过将边缘添加到具有互补地址的每对节点的边缘而获得的超立方体的变体。我们表明,当n(≥2)均匀时,n维折叠超立机(n - 2)-deed-pharft-pharerant-connect,(n - 1)-deed-pharth-palthant在n时强烈汉密尔顿覆盖(≥1)是奇数,并且(N - 2)-Edge-Preaptovertant Hyper Hamiltonian-Welabled(≥3)是奇数时。

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