On the distributed complexity of computing maximal matchings
被引:4
|
作者:
Han´ćkowiak, Michal
论文数: 0引用数: 0
h-index: 0
机构:
Department of Mathematics, Adam Mickiewicz University, Poznan´, PolandDepartment of Mathematics, Adam Mickiewicz University, Poznan´, Poland
Han´ćkowiak, Michal
[1
]
Karon´ski, Michal
论文数: 0引用数: 0
h-index: 0
机构:
Department of Mathematics, Adam Mickiewicz University, Poznan´, Poland
Department of Mathematics, Emory University, Atlanta, GA, United StatesDepartment of Mathematics, Adam Mickiewicz University, Poznan´, Poland
Karon´ski, Michal
[1
,2
]
Panconesi, Alessandro
论文数: 0引用数: 0
h-index: 0
机构:
DSI, La Sapienza, via Salaria 113, 00198 Roma, ItalyDepartment of Mathematics, Adam Mickiewicz University, Poznan´, Poland
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
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.