Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 7-Connected Graphs are 4-Ordered   A graph $G$ is $k$-ordered if for any distinct vertices $v_1, v_2, \ldots,
v_k \in V(G)$, it has a cycle through $v_1, v_2, \ldots, v_k$ in order. Let
$f(k)$ denote the minimum integer so that every $f(k)$-connected graph is
$k$-ordered. The first non-trivial case of determining $f(k)$ is when $k=4$,
where the previously best known bounds are $7 \leq f(4) \leq 40$. We prove that
in fact $f(4)=7$.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg