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arXiv cs/0106041cs.CC
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由部分图计算完全图同构和Hamilton圈

Computing Complete Graph Isomorphisms and Hamiltonian Cycles from Partial Ones

André Grosse, Joerg Rothe, Gerd Wechsung

摘要:

我们证明,计算一对顶点映射到彼此之间的同构$ϕ$两个同构图是很难计算$ϕ$本身。这一结果最佳改善后,结果的Gál等人。我们建立了一个类似的,虽然稍弱,结果计算完全的图从部分哈密尔顿圈。

英文摘要:

We prove that computing a single pair of vertices that are mapped onto each other by an isomorphism $ϕ$ between two isomorphic graphs is as hard as computing $ϕ$ itself. This result optimally improves upon a result of Gál et al. We establish a similar, albeit slightly weaker, result about computing complete Hamiltonian cycles of a graph from partial Hamiltonian cycles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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