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An algorithm for uniform generation of unlabeled (Pólya) trees

Pólya trees are unlabeled rooted trees on n vertices. This paper gives a new way to generate Pólya trees, that conjecturally is very efficient. This allows comparing typical unlabeled and labeled tree statistics and comparing asymptotic theorems with “reality.”

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Autori principali: Laurent Bartholdi, Persi Diaconis
Natura: Artigo
Lingua:Inglês
Pubblicazione: Cambridge University Press 2026-01-01
Serie:Forum of Mathematics, Sigma
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Accesso online:https://www.cambridge.org/core/product/identifier/S2050509426102187/type/journal_article
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