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The least doubling constant of a path graph

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dc.contributor.authorDurand Cartagena, Estibalitz
dc.contributor.authorSoria de Diego, Francisco Javier
dc.contributor.authorTradacete Pérez, Pedro
dc.date.accessioned2025-01-30T11:21:35Z
dc.date.available2025-01-30T11:21:35Z
dc.date.issued2025
dc.description.abstractWe study the least doubling constant CG among all possible doubling measures defined on a path graph G. We consider both finite and infinite cases and show that, if G = Z, CZ = 3, while for G = Ln, the path graph with n vertices, one has 1 + 2 cos( π / n+1 ) ≤ CLn < 3, with equality on the lower bound if and only if n ≤ 8. Moreover, we analyze the structure of doubling minimizers on Ln and Z, those measures whose doubling constant is the smallest possible.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (España)
dc.description.statuspub
dc.description.versionAM
dc.identifier.citationDurand-Cartagena E, Soria J, Tradacete P. The least doubling constant of a path graph. Kyoto J Math 2025; 65. [DOI: 10.1215/21562261-2024-0014]
dc.identifier.doi10.1215/21562261-2024-0014
dc.identifier.officialurlhttps://doi.org/10.1215/21562261-2024-0014
dc.identifier.urihttps://hdl.handle.net/20.500.14352/117218
dc.issue.number1
dc.journal.titleKyoto Journal of Mathematics
dc.language.isoeng
dc.page.final243
dc.page.initial217
dc.publisherDuke University Press
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113048GB-I00/ES/ESPACIOS DE FUNCIONES Y TECNICAS DE ACOTACION DE OPERADORES EN ANALISIS/
dc.relation.projectIDCEX2019-000904-S
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.keywordDoubling measure
dc.subject.keywordLeast doubling constant
dc.subject.keywordLinear graph
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.unesco12 Matemáticas
dc.titleThe least doubling constant of a path graph
dc.typejournal article
dc.volume.number65
dspace.entity.typePublication
relation.isAuthorOfPublicationb2108ca5-2270-4783-9661-46cd65b31fc3
relation.isAuthorOfPublication.latestForDiscoveryb2108ca5-2270-4783-9661-46cd65b31fc3

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