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Hipster Tree Growth Rates

Combinatorics 2024-04-29 v1

Abstract

A plane rooted tree is called a hipster tree if it has no nontrivial automorphisms. Equivalently, a tree is a hipster tree if no two siblings have isomorphic subtrees. We impose the hipster condition on various classes of rooted trees. By approximating the generating function for the number of such trees, we obtain bounds on their exponential growth rates.

Keywords

Cite

@article{arxiv.2404.17188,
  title  = {Hipster Tree Growth Rates},
  author = {Alexander Wong},
  journal= {arXiv preprint arXiv:2404.17188},
  year   = {2024}
}

Comments

9 pages, 55th Southeastern International Conference on Combinatorics, Graph Theory & Computing

R2 v1 2026-06-28T16:07:22.364Z