Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pure $\mathcal{O}$-sequences arising from $2$-dimensional PS
  ear-decomposable simplicial complexes   We show that the $h$-vector of a $2$-dimensional PS ear-decomposable
simplicial complex is a pure $\mathcal{O}$-sequence. This provides a
strengthening of Stanley's conjecture for matroid $h$-vectors in rank $3$. Our
approach modifies the approach of combinatorial shifting for arbitrary
simplicial complexes to the setting of $2$-dimensional PS ear-decomposable
complexes, which allows us to greedily construct a corresponding pure
multicomplex.

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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn