Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Covering hypergraphs are eulerian   An Euler tour in a hypergraph (also called a rank-2 universal cycle or
1-overlap cycle in the context of designs) is a closed walk that traverses
every edge exactly once. In this paper, we define a covering $k$-hypergraph to
be a non-empty $k$-uniform hypergraph in which every $(k-1)$-subset of vertices
appear together in at least one edge. We then show that every covering
$k$-hypergraph, for $k\geq 3$, admits an Euler tour if and only if it has at
least two edges.

21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys