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arXiv · 1601.00944

On the number of nonisomorphic subtrees of a tree

Éva Czabarka·László A. Székely·Stephan Wagner
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Abstract

We show that a tree of order $n$ has at most $O(5^{n/4})$ 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.

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Éva Czabarka, László A. Székely, Stephan Wagner. 2016-01-05. On the number of nonisomorphic subtrees of a tree. https://arxiv.org/abs/1601.00944

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