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EnglishWe give simple, deterministic, distributed algorithms for computing maximal matchings, maximal independent sets, and colourings. We show that edge colourings with at most 2D -1 colours, and maximal matchings, can be computed within O(log* n + D) deterministic rounds, where D is the maximum degree of the network. We also show how to find maximal independent sets and (D+1)-vertex colourings within O(log* n + D^2) deterministic rounds. All hidden constants are very small and the algorithms are very simple.
http://hdl.handle.net/11562/409608| Titolo: | Some Simple Distributed Algorithms for Sparse Networks |
| Autori: | |
| Data di pubblicazione: | 2001 |
| Rivista: | |
| Abstract: | We give simple, deterministic, distributed algorithms for computing maximal matchings, maximal independent sets, and colourings. We show that edge colourings with at most 2D -1 colours, and maximal matchings, can be computed within O(log* n + D) deterministic rounds, where D is the maximum degree of the network. We also show how to find maximal independent sets and (D+1)-vertex colourings within O(log* n + D^2) deterministic rounds. All hidden constants are very small and the algorithms are very simple. |
| Handle: | http://hdl.handle.net/11562/409608 |
| Appare nelle tipologie: | 01.01 Articolo in Rivista |
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