Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On positive hypergraphs   Camarena, Cs\'{o}ka, Hubai, Lippner, and Lov\'{a}sz introduced the notion of
positive graphs. This notion naturally extends to $r$-uniform hypergraphs. In
the case when $r$ is odd, we prove that a hypergraph is positive if and only if
its Levi graph is positive. As an application, we show that the $1$-subdivision
of $K_{r,r}$ is not a positive graph when $r$ is odd.

26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ