Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regular, pseudo-regular, and almost regular matrices   We give lower bounds on the largest singular value of arbitrary matrices,
some of which are asymptotically tight for almost all matrices. To study when
these bounds are exact, we introduce several combinatorial concepts. In
particular, we introduce regular, pseudo-regular, and almost regular matrices.
Nonnegative, symmetric, almost regular matrices were studied earlier by
Hoffman, Wolfe, and Hoffmeister.

21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex