Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on a Brooks' type theorem for DP-coloring   Dvo\v{r}\'{a}k and Postle \cite{DP} introduced a \textit{DP-coloring} of a
simple graph as a generalization of a list-coloring. They proved a Brooks' type
theorem for a DP-coloring, and Bernshteyn, Kostochka and Pron \cite{BKP}
extended it to a DP-coloring of multigraphs. However, detailed structure when a
multigraph does not admit a DP-coloring was not specified in \cite{BKP}. In
this note, we make this point clear and give the complete structure. This is
also motivated by the relation to signed coloring of signed graphs.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph