A fault-containing self-stabilizing ( 3 − 2 Δ + 1 ) -approximation algorithm for vertex cover in anonymous networks

The non-computability of many distributed tasks in anonymous networks is well known. This paper presents a deterministic self-stabilizing algorithm to compute a ( 3 − 2 Δ + 1 ) -approximation of a minimum vertex cover in anonymous networks. The algorithm operates under the distributed unfair schedul...

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Vydané v:Theoretical computer science Ročník 412; číslo 33; s. 4361 - 4371
Hlavní autori: Turau, Volker, Hauck, Bernd
Médium: Journal Article Konferenčný príspevok..
Jazyk:English
Vydavateľské údaje: Oxford Elsevier B.V 29.07.2011
Elsevier
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ISSN:0304-3975, 1879-2294
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Shrnutí:The non-computability of many distributed tasks in anonymous networks is well known. This paper presents a deterministic self-stabilizing algorithm to compute a ( 3 − 2 Δ + 1 ) -approximation of a minimum vertex cover in anonymous networks. The algorithm operates under the distributed unfair scheduler, stabilizes after O ( n + m ) moves respectively O ( Δ ) rounds, and requires O ( log n ) storage per node. Recovery from a single fault is reached within a constant time and the contamination number is O ( Δ ) . For trees the algorithm computes a 2 -approximation of a minimum vertex cover.
Bibliografia:ObjectType-Article-2
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ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2010.11.010