English

Patterns in trees and quantum automorphism groups

Operator Algebras 2026-05-20 v2 Combinatorics

Abstract

We prove that given a fixed finite tree PP, almost all trees contain PP 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.

Keywords

Cite

@article{arxiv.2402.14024,
  title  = {Patterns in trees and quantum automorphism groups},
  author = {Lucas Alger and Julie Capron and Félix de la Salle},
  journal= {arXiv preprint arXiv:2402.14024},
  year   = {2026}
}

Comments

9 pages

R2 v1 2026-06-28T14:56:05.909Z