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hal.structure.identifierInstitut Universitaire de France [IUF]
hal.structure.identifierLaboratoire de Probabilités, Statistique et Modélisation [LPSM (UMR_8001)]
dc.contributor.authorBoutillier, Cédric
hal.structure.identifierSection de mathématiques [Genève]
dc.contributor.authorCimasoni, David
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
hal.structure.identifierInstitut Universitaire de France [IUF]
dc.contributor.authorde Tilière, Béatrice
dc.date.accessioned2022-11-22T13:54:21Z
dc.date.available2022-11-22T13:54:21Z
dc.date.issued2022
dc.identifier.issn0364-9024
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/23174
dc.language.isoenen
dc.subjectisoradial graphsen
dc.subjectdimersen
dc.subjectplanar graphsen
dc.subjectgraphes planairesen
dc.subjectgraphes isoradiauxen
dc.subjectdimèresen
dc.subject.ddc515en
dc.titleIsoradial immersionsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIsoradial embeddings of planar graphs play a crucial role in the study of several models of statistical mechanics, such as the Ising and dimer models. Kenyon and Schlenker give a combinatorial characterization of planar graphs admitting an isoradial embedding, and describe the space of such embeddings. In this paper we prove two results of the same type for generalizations of isoradial embeddings: isoradial immersions and minimal immersions. We show that a planar graph has a flat isoradial immersion if and only if its train-tracks do not form closed loops, and that a bipartite graph has a minimal immersion if and only if it is minimal. In both cases we describe the space of such immersions. We also give an application of our result to the bipartite dimer model defined on graphs admitting minimal immersions.en
dc.relation.isversionofjnlnameJournal of Graph Theory
dc.relation.isversionofjnlvol99en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate2022
dc.relation.isversionofjnlpages715-757en
dc.relation.isversionofdoi10.1002/jgt.22761en
dc.relation.isversionofjnlpublisherWileyen
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershipnon-rechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2022-11-22T13:49:58Z
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