Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic coloring of graphs having no $K_5$ minor   We prove that every simple connected graph with no $K_5$ minor admits a
proper 4-coloring such that the neighborhood of each vertex $v$ having more
than one neighbor is not monochromatic, unless the graph is isomorphic to the
cycle of length 5. This generalizes the result by S.-J. Kim, S. J. Lee, and
W.-J. Park on planar graphs.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys