Exploring an unknown graph to locate a black hole using tokens

Consider a team of (one or more) mobile agents operating in a graph G. Unaware of the graph topology and starting from the same node, the team must explore the graph. This problem, known as graph exploration, was initially formulated by Shannon in 1951, and has been extensively studied since under a...

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Autores principales: Dobrev, Stefan, Flocchini, Paola, Královic, Rastislav, Santoro, Nicola
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2006
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/24387
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id I19-R120-10915-24387
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Informáticas
token model
black hole search problem
Robotics
Algorithms
spellingShingle Ciencias Informáticas
token model
black hole search problem
Robotics
Algorithms
Dobrev, Stefan
Flocchini, Paola
Královic, Rastislav
Santoro, Nicola
Exploring an unknown graph to locate a black hole using tokens
topic_facet Ciencias Informáticas
token model
black hole search problem
Robotics
Algorithms
description Consider a team of (one or more) mobile agents operating in a graph G. Unaware of the graph topology and starting from the same node, the team must explore the graph. This problem, known as graph exploration, was initially formulated by Shannon in 1951, and has been extensively studied since under a variety of conditions. The existing investigations have all assumed that the network is safe for the agents, and the solutions presented in the literature succeed in their task only under this assumption. Recently, the exploration problem has been examined also when the network is unsafe. The danger examined is the presence in the network of a black hole, a node that disposes of any incoming agent without leaving any observable trace of this destruction. The goal is for at least one agent to survive and to have all the surviving agents to construct a map of the network, indicating the edges leading to the black hole. This variant of the problem is also known as black hole search. This problem has been investigated assuming powerful inter-agent communication mechanisms: whiteboards at all nodes. Indeed, in this model, the black hole search problem can be solved with a minimal team size and performing a polynomial number of moves. In this paper, we consider a less powerful token model.We constructively prove that the black hole search problem can be solved also in this model; furthermore, this can be done using a minimal team size and performing a polynomial number of moves. Our algorithm works even if the agents are asynchronous and if both the agents and the nodes are anonymous.
format Objeto de conferencia
Objeto de conferencia
author Dobrev, Stefan
Flocchini, Paola
Královic, Rastislav
Santoro, Nicola
author_facet Dobrev, Stefan
Flocchini, Paola
Královic, Rastislav
Santoro, Nicola
author_sort Dobrev, Stefan
title Exploring an unknown graph to locate a black hole using tokens
title_short Exploring an unknown graph to locate a black hole using tokens
title_full Exploring an unknown graph to locate a black hole using tokens
title_fullStr Exploring an unknown graph to locate a black hole using tokens
title_full_unstemmed Exploring an unknown graph to locate a black hole using tokens
title_sort exploring an unknown graph to locate a black hole using tokens
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/24387
work_keys_str_mv AT dobrevstefan exploringanunknowngraphtolocateablackholeusingtokens
AT flocchinipaola exploringanunknowngraphtolocateablackholeusingtokens
AT kralovicrastislav exploringanunknowngraphtolocateablackholeusingtokens
AT santoronicola exploringanunknowngraphtolocateablackholeusingtokens
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