English

A locally finite tree that behaves like an infinite star

Combinatorics 2008-12-12 v1

Abstract

We construct a tree T of maximal degree 3 with infinitely many leaves such that whenever finitely many of them are removed, the remaining tree is isomorphic to T. In this sense T resembles an infinite star.

Keywords

Cite

@article{arxiv.0812.2179,
  title  = {A locally finite tree that behaves like an infinite star},
  author = {Mykhaylo Tyomkyn},
  journal= {arXiv preprint arXiv:0812.2179},
  year   = {2008}
}
R2 v1 2026-06-21T11:50:55.786Z