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Creators/Authors contains: "Arman, Andrii"

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  1. In this paper we make a partial progress on the following conjecture: for every $$\mu>0$$ and large enough $$n$$, every Steiner triple system $$S$$ on at least $$(1+\mu)n$$ 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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  2. null (Ed.)