ILCINKAS, David; NISSE, Nicolas; SOGUET, David

doi:10.1007/s00446-009-0089-1

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ILCINKAS, David
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Algorithmics for computationally intensive applications over wide scale distributed platforms [CEPAGE]

NISSE, Nicolas
Algorithms, simulation, combinatorics and optimization for telecommunications [MASCOTTE]

SOGUET, David
Laboratoire de Recherche en Informatique [LRI]

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Article de revue

Ce document a été publié dans

Distributed Computing. 2009, vol. 22, n° 2, p. 117-127

Springer Verlag

Résumé en anglais

Blin et al. (TCS 2008) proposed a distributed protocol enabling the smallest possible number of searchers to clear any unknown graph in a decentralized manner. However, the strategy that is actually performed lacks of an important property, namely the monotonicity. This paper deals with the smallest number of searchers that are necessary and sufficient to monotonously clear any unknown graph in a decentralized manner. The clearing of the graph is required to be connected, i.e., the clear part of the graph must remain permanently connected, and monotone, i.e., the clear part of the graph only grows. We prove that a distributed protocol clearing any unknown $n$-node graph in a monotone connected way, in a decentralized setting, can achieve but cannot beat competitive ratio of $\Theta(\frac{n}{\log n})$, compared with the centralized minimum number of searchers. Moreover, our lower bound holds even in a synchronous setting, while our constructive upper bound holds even in an asynchronous setting.< Réduire

Mots clés en anglais

Graph searching

Mobile agent

Monotonicity

Competitive ratio

URI

https://oskar-bordeaux.fr/handle/20.500.12278/198341

DOI

http://dx.doi.org/10.1007/s00446-009-0089-1

Project ANR

Algorithm Design and Analysis for Implicitly and Incompletely Defined Interaction Networks - ANR-07-BLAN-0322

Origine

Importé de hal

Unités de recherche

Laboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800