Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Treewidth of the $q$-Kneser graphs   Let $V$ be an $n$-dimensional vector space over a finite field
$\mathbb{F}_q$, where $q$ is a prime power. Define the \emph{generalized
$q$-Kneser graph} $K_q(n,k,t)$ to be the graph whose vertices are the
$k$-dimensional subspaces of $V$ and two vertices $F_1$ and $F_2$ are adjacent
if $\dim(F_1\cap F_2)<t$. Then $K_q(n,k,1)$ is the well-known $q$-Kneser graph.
In this paper, we determine the treewidth of $K_q(n,k,t)$ for $n\geq
2t(k-t+1)+k+1$ and $t\ge 1$ exactly. Note that $K_q(n,k,k-1)$ is the complement
of the Grassmann graph $G_q(n,k)$. We give a more precise result for the
treewidth of $\overline{G_q(n,k)}$ for any possible $n$, $k$ and $q$.

1
The categories of this paper are: cs
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga