Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on simplicial rook graphs   The simplicial rook graph ${\rm SR}(m,n)$ is the graph of which the vertices
are the sequences of nonnegative integers of length $m$ summing to $n$, where
two such sequences are adjacent when they differ in precisely two places. We
show that ${\rm SR}(m,n)$ has integral eigenvalues, and smallest eigenvalue $s
= \max (-n, -{m \choose 2})$, and that this graph has a large part of its
spectrum in common with the Johnson graph $J(m+n-1,n)$. We determine the
automorphism group and several other properties.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph