An asymptotic expression for the fixation probability of a mutant in star graphs
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10362/65003 |
Resumo: | We consider the Moran process in a graph called the ``star'' and obtain the asymptotic expression for the fixation probability of a single mutant when the size of the graph is large. The expression obtained corrects the previously known expression announced in reference [E Lieberman, C Hauert, and MA Nowak. Evolutionary dynamics on graphs. Nature, 433(7023):312–316, 2005] and further studied in [M. Broom and J. Rychtar. An analysis of the fixation probability of a mutant on special classes of non-directed graphs. Proc. R. Soc. A-Math. Phys. Eng. Sci., 464(2098):2609–2627, 2008]. We also show that the star graph is an accelerator of evolution, if the graph is large enough. |
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An asymptotic expression for the fixation probability of a mutant in star graphsEvolutionary graph theoryMoran processfixation probabilityasymptotic expansionsstar graphWe consider the Moran process in a graph called the ``star'' and obtain the asymptotic expression for the fixation probability of a single mutant when the size of the graph is large. The expression obtained corrects the previously known expression announced in reference [E Lieberman, C Hauert, and MA Nowak. Evolutionary dynamics on graphs. Nature, 433(7023):312–316, 2005] and further studied in [M. Broom and J. Rychtar. An analysis of the fixation probability of a mutant on special classes of non-directed graphs. Proc. R. Soc. A-Math. Phys. Eng. Sci., 464(2098):2609–2627, 2008]. We also show that the star graph is an accelerator of evolution, if the graph is large enough.DM - Departamento de MatemáticaCMA - Centro de Matemática e AplicaçõesRUNChalub, Fabio Augusto da Costa Carvalho2019-03-29T23:16:01Z20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/65003eng2164-6066PURE: 2568304https://doi.org/10.3934/jdg.2016011info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T04:30:52Zoai:run.unl.pt:10362/65003Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:34:14.134229Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
An asymptotic expression for the fixation probability of a mutant in star graphs |
title |
An asymptotic expression for the fixation probability of a mutant in star graphs |
spellingShingle |
An asymptotic expression for the fixation probability of a mutant in star graphs Chalub, Fabio Augusto da Costa Carvalho Evolutionary graph theory Moran process fixation probability asymptotic expansions star graph |
title_short |
An asymptotic expression for the fixation probability of a mutant in star graphs |
title_full |
An asymptotic expression for the fixation probability of a mutant in star graphs |
title_fullStr |
An asymptotic expression for the fixation probability of a mutant in star graphs |
title_full_unstemmed |
An asymptotic expression for the fixation probability of a mutant in star graphs |
title_sort |
An asymptotic expression for the fixation probability of a mutant in star graphs |
author |
Chalub, Fabio Augusto da Costa Carvalho |
author_facet |
Chalub, Fabio Augusto da Costa Carvalho |
author_role |
author |
dc.contributor.none.fl_str_mv |
DM - Departamento de Matemática CMA - Centro de Matemática e Aplicações RUN |
dc.contributor.author.fl_str_mv |
Chalub, Fabio Augusto da Costa Carvalho |
dc.subject.por.fl_str_mv |
Evolutionary graph theory Moran process fixation probability asymptotic expansions star graph |
topic |
Evolutionary graph theory Moran process fixation probability asymptotic expansions star graph |
description |
We consider the Moran process in a graph called the ``star'' and obtain the asymptotic expression for the fixation probability of a single mutant when the size of the graph is large. The expression obtained corrects the previously known expression announced in reference [E Lieberman, C Hauert, and MA Nowak. Evolutionary dynamics on graphs. Nature, 433(7023):312–316, 2005] and further studied in [M. Broom and J. Rychtar. An analysis of the fixation probability of a mutant on special classes of non-directed graphs. Proc. R. Soc. A-Math. Phys. Eng. Sci., 464(2098):2609–2627, 2008]. We also show that the star graph is an accelerator of evolution, if the graph is large enough. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016 2016-01-01T00:00:00Z 2019-03-29T23:16:01Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10362/65003 |
url |
http://hdl.handle.net/10362/65003 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2164-6066 PURE: 2568304 https://doi.org/10.3934/jdg.2016011 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799137963686232064 |