Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On trees with a maximum proper partial 0-1 coloring containing a maximum
  matching   I prove that in a tree in which the distance between any two endpoints is
even, there is a maximum proper partial 0-1 coloring such that the edges
colored by 0 form a maximum matching.

31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex