Fast Distributed Construction of Small k-Dominating Sets and Applications

Fast Distributed Construction of Small k-Dominating Sets and Applications
复制标题

小型 k 支配集的快速分布式构建及应用

DOI:
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发表时间:
1998
期刊:
J. Algorithms
影响因子:
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通讯作者:
D. Peleg
D. Peleg
中科院分区:
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文献类型:
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作者:
S. Kutten;D. Peleg

文献摘要

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本文介绍了一种快速分布式算法,以计算一个小型主体式的setD(对于任何固定克),并计算其诱导的图形分区(将图形分解为以dd的顶点为中心的radiuskclusters)。算法ISO(klog*n)的时间复杂性。 Smallk为主机的集合在许多领域都有应用程序,包括带有稀疏路由表的路由,分布式数据结构的设计以及分布式网络中的中心选择。本文描述的主要应用程序涉及一种快速分布的算法,用于构建最小重量跨越树(MST)。在直径的Ann-Vertex网络上,新算法在时间上构建了MST,从而改善了先前的结果。
This article presents a fast distributed algorithm to compute a smallk-dominating setD(for any fixedk) and to compute its induced graph partition (breaking the graph into radiuskclusters centered around the vertices ofD). The time complexity of the algorithm isO(klog*n). Smallk-dominating sets have applications in a number of areas, including routing with sparse routing tables, the design of distributed data structures, and center selection in a distributed network. The main application described in this article concerns a fast distributed algorithm for constructing a minimum-weight spanning tree (MST). On ann-vertex network of diameterd, the new algorithm constructs an MST in time, improving on previous results.