Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Maxima of Quadratic Boolean Functions   How many strict local maxima can a real quadratic function on $\{0,1\}^n$
have? Holzman conjectured a maximum of $n \choose \lfloor n/2 \rfloor$. The aim
of this paper is to prove this conjecture. Our approach is via a generalization
of Sperner's theorem that may be of independent interest.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn