Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lozenge tilings of a halved hexagon with an array of triangles removed
  from the boundary, part II   Proctor's work on staircase plane partitions yields an enumeration of lozenge
tilings of a halved hexagon on the triangular lattice. Rohatgi later extended
this tiling enumeration to a halved hexagon with a triangle cut off from the
boundary. In the previous paper, the author proved a common generalization of
Proctor's and Rohatgi's results by enumerating lozenge tilings of a halved
hexagon in the case an array of an arbitrary number of triangles has been
removed from a non-staircase side. In this paper, we consider the other case
when the array of triangles has been removed from the staircase side of the
halved hexagon. Our result also implies an explicit formula for the number of
tilings of a hexagon with an array of triangles missing on the symmetry axis.

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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph