Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power domination throttling   A power dominating set of a graph $G=(V,E)$ is a set $S\subset V$ that colors
every vertex of $G$ according to the following rules: in the first timestep,
every vertex in $N[S]$ becomes colored; in each subsequent timestep, every
vertex which is the only non-colored neighbor of some colored vertex becomes
colored. The power domination throttling number of $G$ is the minimum sum of
the size of a power dominating set $S$ and the number of timesteps it takes $S$
to color the graph. In this paper, we determine the complexity of power
domination throttling and give some tools for computing and bounding the power
domination throttling number. Some of our results apply to very general
variants of throttling and to other aspects of power domination.

27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th