English

On the number of nonisomorphic subtrees of a tree

Combinatorics 2016-01-06 v1

Abstract

We show that a tree of order nn has at most O(5n/4)O(5^{n/4}) nonisomorphic subtrees, and that this bound is best possible. We also prove an analogous result for the number of nonisomorphic rooted subtrees of a rooted tree.

Keywords

Cite

@article{arxiv.1601.00944,
  title  = {On the number of nonisomorphic subtrees of a tree},
  author = {Éva Czabarka and László A. Székely and Stephan Wagner},
  journal= {arXiv preprint arXiv:1601.00944},
  year   = {2016}
}