Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The super-connectivity of Kneser graph KG(n,3)   A vertex cut $S$ of a connected graph $G$ is a subset of vertices of $G$
whose deletion makes $G$ disconnected. A super vertex cut $S$ of a connected
graph $G$ is a subset of vertices of $G$ whose deletion makes $G$ disconnected
and there is no isolated vertex in each component of $G-S$. The
super-connectivity of graph $G$ is the size of the minimum super vertex cut of
$G$. Let $KG(n,k)$ be the Kneser graph whose vertices set are the $k$-subsets
of $\{1,\cdots,n\}$, where $k$ is the number of labels of each vertex in $G$.
We aim to show that the conjecture from Boruzanli and Gauci \cite{EG19} on the
super-connectivity of Kneser graph $KG(n,k)$ is true when $k=3$.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin