论置换图的最短路径问题

O. Ibarra, Q. Zheng
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引用次数: 3

摘要

作者证明了在EREW PRAM上使用O(n/logn)个处理器,可以在O(logn)时间内解决置换图的单源最短路径问题。作为一个应用,他们证明了使用O(n/logn)个处理器可以在O(logn)时间内找到置换图的最小连通支配集。这些算法在时间处理器积方面是最优的。
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On the shortest path problem for permutation graphs
The authors show that the single-source shortest path problem for permutation graphs can be solved in O(logn) time using O(n/logn) processors on an EREW PRAM. As an application, they show that a minimum connected dominating set of a permutation graph can be found in O(logn) time using O(n/logn) processors. The algorithms are optimal with respect to the time-processor product.<>
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