# From trees to seeds: on the inference of the seed from large trees in the uniform attachment model

arXiv: https://arxiv.org/abs/1409.7685 · HTML: https://mlsanity.com/paper/1409.7685/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Sep 2014.

## Built on by (most cited first, 3 of 3)

- [Archaeology of random recursive dags and Cooper-Frieze random networks](https://mlsanity.com/paper/2207.14601/) (2022)
- [Harnessing Multiple Correlated Networks for Exact Community Recovery](https://mlsanity.com/paper/2412.02796/) (2024)
- [Estimating the history of a random recursive tree](https://mlsanity.com/paper/2403.09755/) (2024)

## Abstract (arXiv)

We study the influence of the seed in random trees grown according to the uniform attachment model, also known as uniform random recursive trees. We show that different seeds lead to different distributions of limiting trees from a total variation point of view. To do this, we construct statistics that measure, in a certain well-defined sense, global "balancedness" properties of such trees. Our paper follows recent results on the same question for the preferential attachment model.