Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Percolation on the institute-enterprise R&D collaboration networks   Realistic network-like systems are usually composed of multiple networks with
interacting relations such as school-enterprise research and development
collaboration networks. Here we study the percolation properties of a special
kind of that R&D collaboration networks, namely institute-enterprise R&D
collaboration networks. We introduce two actual IERDCNs to show their
structural properties, and present a mathematical framework based on generating
functions for analyzing an interacting network with any connection probability.
Then we illustrate the percolation threshold and structural parameter
arithmetic in the sub-critical and supercritical regimes. We compare the
predictions of our mathematical framework and arithmetic to data for two real
R&D collaboration networks and a number of simulations, and we find that they
are in remarkable agreement with the data. We show applications of the
framework to electronics R&D collaboration networks.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga