Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Games and Complexes II: Weight Games and Kruskal-Katona Type Bounds   A strong placement game $G$ played on a board $B$ is equivalent to a
simplicial complex $\Delta_{G,B}$. We look at weight games, a subclass of
strong placement games, and introduce upper bounds on the number of positions
with $i$ pieces in $G$, or equivalently the number of faces with $i$ vertices
in $\Delta_{G,B}$, which are reminiscent of the Kruskal-Katona bounds.

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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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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: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys