Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: {\alpha}-Indirect Control in Onion-like Networks   Tens of thousands of parent companies control millions of subsidiaries
through long chains of intermediary entities in global corporate networks.
Conversely, tens of millions of entities are directly held by sole owners. We
propose an algorithm for identification of ultimate controlling entities in
such networks that unifies direct and indirect control and allows for
continuous interpolation between the two concepts via a factor damping long
paths. By exploiting onion-like properties of ownership networks the algorithm
scales linearly with the network size and handles circular ownership by design.
We apply it to the universe of 4.2 mln UK companies and 4 mln of their holders
to understand the distribution of control in the country. Furthermore, we
provide the first independent evaluation of the control identification results.
We reveal that the proposed $\alpha$-ICON algorithm identifies more than 96% of
beneficiary entities from the evaluation set and supersedes the existing
approaches reported in the literature. We refer the superiority of
$\alpha$-ICON algorithm to its ability to correctly identify the parents long
away from their subsidiaries in the network.

15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con