Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal 0-1 fillings of moon polyominoes with restricted chain-lengths
  and rc-graphs   We show that maximal 0-1-fillings of moon polynomials with restricted chain
lengths can be identified with certain rc-graphs, also known as pipe dreams. In
particular, this exhibits a connection between maximal 0-1-fillings of Ferrers
shapes and Schubert polynomials. Moreover, it entails a bijective proof showing
that the number of maximal fillings of a stack polyomino S with no north-east
chains longer than k depends only on k and the multiset of column heights of S.
Our main contribution is a slightly stronger theorem, which in turn leads us to
conjecture that the poset of rc-graphs with covering relation given by
generalised chute moves is in fact a lattice.

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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an