Probabilistic analysis of efficiency and vulnerability in the Erdös-Rénji model

New analytic estimates for efficiency and vulnerability in the Erdös-Rénji model are presented using probabilistic properties and diameter bounds that are specific for this model and its topology. These estimates for random networks improve the known deterministic lower estimates for efficiency and...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of computer mathematics Vol. 85; no. 3-4; pp. 411 - 419
Main Authors Criado, R., Hernández-Bermejo, B., Marco-Blanco, J., Romance, M.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.04.2008
Subjects
Complex networks
Complex systems
Computational mathematics
Formal languages
Mathematical modelling
Online AccessGet full text

Cover

More Information
Summary:New analytic estimates for efficiency and vulnerability in the Erdös-Rénji model are presented using probabilistic properties and diameter bounds that are specific for this model and its topology. These estimates for random networks improve the known deterministic lower estimates for efficiency and vulnerability. The probabilistic technique provides a sharper approach to parametric analysis of random networks and allows us to report some new results concerning the efficiency-vulnerability relationship. Several numerical tests are presented to compare the lower estimates obtained with the empirical Erdös-Rénji random networks. These estimates illustrate how the new probabilistic estimates improve on the generic estimates reported in the literature.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160701294459