Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stanley depth and simplicial spanning trees   We show that for proving the Stanley conjecture, it is sufficient to consider
a very special class of monomial ideals. These ideals (or rather their lcm
lattices) are in bijection with the simplicial spanning trees of skeletons of a
simplex.
  We apply this result to verify the Stanley conjecture for quotients of
monomial ideals with up to six generators. For seven generators we obtain a
partial result.

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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg