Patterns in trees and quantum automorphism groups

Archiv der Mathematik 2026 Open access

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Authors: Lucas Alger, Julie Capron, Félix de la Salle
DOI: 10.1007/s00013-026-02260-z
Cited by: 0
References: 13

Abstract

Abstract We prove that given a fixed finite tree P , almost all trees contain P as a subtree. Moreover, the inclusion can be made so that it induces an embedding of the corresponding (quantum) automorphism groups, thereby providing generic properties of the latter.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Algebra and Logic Advanced Topics in Algebra

Publication details

Journal / source
Archiv der Mathematik
Publisher
Springer Science and Business Media LLC
Volume
127
Issue
1
Pages
83–93
Publication date
26 June 2026
Language
EN