Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a hypergraph version of the P\'osa-Seymour conjecture   We prove that for fixed $r\ge k\ge 2$, every $k$-uniform hypergraph on $n$
vertices having minimum codegree at least
$(1-(\binom{r-1}{k-1}+\binom{r-2}{k-2})^{-1})n+o(n)$ contains the $(r-k+1)$th
power of a tight Hamilton cycle. This result may be seen as a step towards a
hypergraph version of the P\'osa--Seymour conjecture.
  Moreover, we prove that the same bound on the codegree suffices for finding a
copy of every spanning hypergraph of tree-width less than $r$ which admits a
tree decomposition where every vertex is in a bounded number of bags.

29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ