Network utility problem and easy reliability polynomials

We model a communication system by a network, were the terminals are perfect but links may fail randomly, with identical probability q = 1-p. This defines a partial random network. The all-terminal reliability R(p) is the probability that this random graph is connected, and it is a polynomial in p....

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Autores principales: Canale, E., Romero, P., Rubino, G., Warnes, X., Papadimitriou D., Jonsson M., Rak J., Somani A., Vinel A.
Formato: CONF
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p79_Canale
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spelling todo:paper_97814673_v_n_p79_Canale2023-10-03T16:43:29Z Network utility problem and easy reliability polynomials Canale, E. Romero, P. Rubino, G. Warnes, X. Papadimitriou D. Jonsson M. Rak J. Somani A. Vinel A. Polynomials All terminal reliability Counting problems Network utility Random graphs Random network Reliability polynomials Reliability We model a communication system by a network, were the terminals are perfect but links may fail randomly, with identical probability q = 1-p. This defines a partial random network. The all-terminal reliability R(p) is the probability that this random graph is connected, and it is a polynomial in p. Finding the reliability polynomial can be reduced to a hard counting problem. © 2016 IEEE. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p79_Canale
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Polynomials
All terminal reliability
Counting problems
Network utility
Random graphs
Random network
Reliability polynomials
Reliability
spellingShingle Polynomials
All terminal reliability
Counting problems
Network utility
Random graphs
Random network
Reliability polynomials
Reliability
Canale, E.
Romero, P.
Rubino, G.
Warnes, X.
Papadimitriou D.
Jonsson M.
Rak J.
Somani A.
Vinel A.
Network utility problem and easy reliability polynomials
topic_facet Polynomials
All terminal reliability
Counting problems
Network utility
Random graphs
Random network
Reliability polynomials
Reliability
description We model a communication system by a network, were the terminals are perfect but links may fail randomly, with identical probability q = 1-p. This defines a partial random network. The all-terminal reliability R(p) is the probability that this random graph is connected, and it is a polynomial in p. Finding the reliability polynomial can be reduced to a hard counting problem. © 2016 IEEE.
format CONF
author Canale, E.
Romero, P.
Rubino, G.
Warnes, X.
Papadimitriou D.
Jonsson M.
Rak J.
Somani A.
Vinel A.
author_facet Canale, E.
Romero, P.
Rubino, G.
Warnes, X.
Papadimitriou D.
Jonsson M.
Rak J.
Somani A.
Vinel A.
author_sort Canale, E.
title Network utility problem and easy reliability polynomials
title_short Network utility problem and easy reliability polynomials
title_full Network utility problem and easy reliability polynomials
title_fullStr Network utility problem and easy reliability polynomials
title_full_unstemmed Network utility problem and easy reliability polynomials
title_sort network utility problem and easy reliability polynomials
url http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p79_Canale
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AT rubinog networkutilityproblemandeasyreliabilitypolynomials
AT warnesx networkutilityproblemandeasyreliabilitypolynomials
AT papadimitrioud networkutilityproblemandeasyreliabilitypolynomials
AT jonssonm networkutilityproblemandeasyreliabilitypolynomials
AT rakj networkutilityproblemandeasyreliabilitypolynomials
AT somania networkutilityproblemandeasyreliabilitypolynomials
AT vinela networkutilityproblemandeasyreliabilitypolynomials
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