Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrices in ${\cal A}(R,S)$ with minimum $t$-term ranks   Let $R$ and $S$ be two sequences of nonnegative integers in nonincreasing
order and with the same sum, and let ${\cal A}(R,S)$ be the class of all
$(0,1)$-matrices having row sum $R$ and column sum $S$. For a positive integer
$t$, the $t$-term rank of a $(0,1)$-matrix $A$ is defined as the maximum number
of $1$'s in $A$ with at most one $1$ in each column, and at most $t$ $1$'s in
each row. In this paper, we address conditions for the existence of a matrix in
a class ${\cal A}(R,S)$ that realizes all the minimum $t$-term ranks, for
$t\geq 1$.

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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg