Optimal bounds for matching routing on trees

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作者
Zhang, LX
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TP31 [计算机软件];
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081202 ; 0835 ;
摘要
The permutation routing problem is studied for trees under the matching model. By introducing a novel and useful (so-called) caterpillar tree partition, we prove that any permutation on an n-node tree (and thus graph) can be routed in at most 3/2n + O(log n) steps. This answers an open problem of Alon, Chung and Graham.
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页码:445 / 453
页数:9
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