Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Half domination arrangements in regular and semi-regular tessellation
  type graphs   We study the problem of half-domination sets of vertices in vertex transitive
infinite graphs generated by regular or semi-regular tessellations of the
plane. In some cases, the results obtained are sharp and in the rest, we show
upper bounds for the average densities of vertices in half-domination sets.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess