Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectrum of permanent's values and its extremal magnitudes in
  $\Lambda_n^3$ and $\Lambda_n(\alpha,\beta,\gamma)$   Let $\Lambda_n^k$ denote the class of $(0,1)$ square matrices containing in
each row and in each column exactly $k$ 1's. The minimal value of $k,$ for
which the behavior of the permanent in $\Lambda_n^k$ is not quite studied, is
$k=3.$ We give a simple algorithm for calculation upper magnitudes of permanent
in $\Lambda_n^3$ and consider some extremal problems in a generalized class
$\Lambda_n(\alpha,\beta,\gamma),$ the matrices of which contain in each row and
in each column nonzero elements $\alpha,\beta,\gamma$ and $n-3$ zeros.

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The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org