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  4. Worst-Case Analysis of a Self-Stabilizing Algorithm Computing a Weakly Connected Minimal Dominating Set

Worst-Case Analysis of a Self-Stabilizing Algorithm Computing a Weakly Connected Minimal Dominating Set

Citation Link: https://doi.org/10.15480/882.437
Publikationstyp
Technical Report
Date Issued
2008
Sprache
English
Author(s)
Hauck, Bernd
Institut
Telematik E-17
TORE-DOI
10.15480/882.437
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/439
Recently, Srimani and Xu presented a self-stabilizing algorithm that computes a weakly connected minimal dominating set. They prove an upper bound of O(2^n) until stabilization but they do not provide a lower bound. This paper verifies by giving an example that their algorithm indeed requires O(2^n) moves on a certain graph.
Subjects
self-stabilization
weakly connected minimal dominating set
complexity analysis
Lizenz
http://doku.b.tu-harburg.de/doku/lic_mit_pod.php
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