On the distributed complexity of computing maximal matchings

被引:4
|
作者
Han´ćkowiak, Michal [1 ]
Karon´ski, Michal [1 ,2 ]
Panconesi, Alessandro [3 ]
机构
[1] Department of Mathematics, Adam Mickiewicz University, Poznan´, Poland
[2] Department of Mathematics, Emory University, Atlanta, GA, United States
[3] DSI, La Sapienza, via Salaria 113, 00198 Roma, Italy
关键词
Algorithms - Computational complexity - Computer architecture - Distributed computer systems - Graph theory - Mathematical models - Random access storage;
D O I
10.1137/S0895480100373121
中图分类号
学科分类号
摘要
We show that maximal matchings can be computed deterministically in O(log4 n) rounds in the synchronous, message-passing model of computation. This is one of the very few cases known of a nontrivial graph structure, and the only classical one, which can be computed distributively in polylogarithmic time without recourse to randomization.
引用
收藏
页码:41 / 57
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