Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding Hypertrees into Steiner Triple Systems   In this paper we are interested in the following question: Given an arbitrary
Steiner triple system $S$ on $m$ vertices and any 3-uniform hypertree $T$ on
$n$ vertices, is it necessary that $S$ contains $T$ as a subgraph provided $m
\geq (1+\mu)n$? We show the answer is positive for a class of hypertrees and
conjecture that the answer is always positive.

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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin