Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new bound on the size of the largest critical set in a Latin square   A critical set in an n x n array is a set C of given entries, such that there
exists a unique extension of C to an n x n Latin square and no proper subset of
C has this property. The cardinality of the largest critical set in any Latin
square of order n is denoted by lcs(n). In 1978 Curran and van Rees proved that
lcs(n) <= n^2 - n. Here we show that lcs(n) <= n^2-3n+3.

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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex