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arXiv · 2105.10969

Every Steiner triple system contains an almost spanning d-ary hypertree

Andrii Arman·Vojtěch Rödl·Marcelo Tadeu Sales
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Abstract

In this paper we make a partial progress on the following conjecture: for every $μ>0$ and large enough $n$, every Steiner triple system $S$ on at least $(1+μ)n$ vertices contains every hypertree $T$ on $n$ vertices. We prove that the conjecture holds if $T$ is a perfect $d$-ary hypertree.

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Andrii Arman, Vojtěch Rödl, Marcelo Tadeu Sales. 2021-06-18. Every Steiner triple system contains an almost spanning d-ary hypertree. https://arxiv.org/abs/2105.10969

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