Graph limits and exchangeable random graphs

We develop a clear connection between de Finetti’s theorem for exchangeable arrays (work of Aldous–Hoover–Kallenberg) and the emerging area of graph limits (work of Lovász and many coauthors). Along the way, we translate the graph theory into more classical probability.

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Autores principales: Persi Diaconis, Svante Janson
Formato: article
Lenguaje:EN
FR
IT
Publicado: Sapienza Università Editrice 2008
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Acceso en línea:https://doaj.org/article/92ce215649104556bd37cfe550936bd4
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spelling oai:doaj.org-article:92ce215649104556bd37cfe550936bd42021-11-29T14:19:32ZGraph limits and exchangeable random graphs1120-71832532-3350https://doaj.org/article/92ce215649104556bd37cfe550936bd42008-01-01T00:00:00Zhttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(1)/33-61.pdfhttps://doaj.org/toc/1120-7183https://doaj.org/toc/2532-3350We develop a clear connection between de Finetti’s theorem for exchangeable arrays (work of Aldous–Hoover–Kallenberg) and the emerging area of graph limits (work of Lovász and many coauthors). Along the way, we translate the graph theory into more classical probability.Persi DiaconisSvante JansonSapienza Università Editricearticlegraph limitexchangeable arrayde finetti’s theoremMathematicsQA1-939ENFRITRendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 1, Pp 33-61 (2008)
institution DOAJ
collection DOAJ
language EN
FR
IT
topic graph limit
exchangeable array
de finetti’s theorem
Mathematics
QA1-939
spellingShingle graph limit
exchangeable array
de finetti’s theorem
Mathematics
QA1-939
Persi Diaconis
Svante Janson
Graph limits and exchangeable random graphs
description We develop a clear connection between de Finetti’s theorem for exchangeable arrays (work of Aldous–Hoover–Kallenberg) and the emerging area of graph limits (work of Lovász and many coauthors). Along the way, we translate the graph theory into more classical probability.
format article
author Persi Diaconis
Svante Janson
author_facet Persi Diaconis
Svante Janson
author_sort Persi Diaconis
title Graph limits and exchangeable random graphs
title_short Graph limits and exchangeable random graphs
title_full Graph limits and exchangeable random graphs
title_fullStr Graph limits and exchangeable random graphs
title_full_unstemmed Graph limits and exchangeable random graphs
title_sort graph limits and exchangeable random graphs
publisher Sapienza Università Editrice
publishDate 2008
url https://doaj.org/article/92ce215649104556bd37cfe550936bd4
work_keys_str_mv AT persidiaconis graphlimitsandexchangeablerandomgraphs
AT svantejanson graphlimitsandexchangeablerandomgraphs
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