Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Blind Permutation Similarity Algorithm   This paper introduces a polynomial blind algorithm that determines when two
square matrices, $A$ and $B$, are permutation similar. The shifted and
translated matrices $(A+\beta I+\gamma J)$ and $(B+\beta I+\gamma J)$ are used
to color the vertices of two square, edge weighted, rook's graphs. Then the
orbits are found by repeated symbolic squaring of the vertex colored and edge
weighted adjacency matrices. Multisets of the diagonal symbols from
non-permutation similar matrices are distinct within a few iterations,
typically four or less.

28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol