We consider an injured star graph with some faulty links and nodes. We show that even with f/sub e//spl les/n-3 faulty links a Hamiltonian cycle still can be found in an n-star, and that with f/sub v//spl les/n-3 faulty nodes a ring containing at most 4f/sub v/ nodes less than that in a Hamiltonian cycle can be found (i.e., containing at least n!-4f/sub v/ nodes). In general, in an n-star with f/sub e/ faulty links and f/sub v/ faulty nodes, where f/sub e/+f/sub v//spl les/n-3 our embedding is able to establish a ring containing at least n!-4f/sub v/ nodes.
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机译:我们考虑带有一些故障链接和节点的受伤的星形图。我们表明即使使用F / SUB E // SPL LES / N-3故障链接仍然可以在N-Star中找到Hamiltonian周期,并且具有F / Sub V // SPL LES / N-3故障节点A可以找到包含在最多4F / sub V /节点的环(即,包含至少n!-4f / sub v / nodes)。通常,在具有F / SUB E /故障链路和F / SUB V /故障节点的N-STAR中,其中F / SUB E / + F / SUB V // SPL LES / N-3我们的嵌入能够建立一个包含至少n的戒指至少n!-4f / sub v /节点。
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