Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of chromatic polynomials of hypergraphs not held for
  chromatic polynomials of graphs   In this paper, we present some properties on chromatic polynomials of
hypergraphs which do not hold for chromatic polynomials of graphs. We first
show that chromatic polynomials of hypergraphs have all integers as their zeros
and contain dense real zeros in the set of real numbers. We then prove that for
any multigraph $G=(V,E)$, the number of totally cyclic orientations of $G$ is
equal to the value of $|P(H,-1)|$, where $P(H,\lambda)$ is the chromatic
polynomial of a hypergraph $H$ which is constructed from $G$. Finally we show
that the multiplicity of root "$0$" of $P(H,\lambda)$ may be at least $2$ for
some connected hypergraphs $H$, and the multiplicity of root "$1$" of
$P(H,\lambda)$ may be $1$ for some connected and separable hypergraphs $H$ and
may be $2$ for some connected and non-separable hypergraphs $H$.

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn