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 (R&D) collaboration networks. Here, we study the percolation properties of a special class of R&D collaboration network, namely institute-ent...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-01-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2015-0008 |
| _version_ | 1830509122066317312 |
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| author | Li Chenguang Zhang Yongan |
| author_facet | Li Chenguang Zhang Yongan |
| author_sort | Li Chenguang |
| collection | DOAJ |
| description | Realistic network-like systems are usually composed of multiple networks with interacting relations such as school-enterprise research and development (R&D) collaboration networks. Here, we study the percolation properties of a special class of R&D collaboration network, namely institute-enterprise R&D collaboration networks (IERDCNs). We introduce two actual IERDCNs to show their structural properties, and we 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. We find that our predictions are in remarkable agreement with the data. We show applications of the framework to electronics R&D collaboration networks |
| first_indexed | 2024-12-22T01:29:54Z |
| format | Article |
| id | doaj.art-0e0f5bc64df54d8c959b859f8df7145d |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-12-22T01:29:54Z |
| publishDate | 2015-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-0e0f5bc64df54d8c959b859f8df7145d2022-12-21T18:43:31ZengDe GruyterOpen Physics2391-54712015-01-0113110.1515/phys-2015-0008phys-2015-0008Percolation on the institute-enterprise R&D collaboration networksLi Chenguang0Zhang Yongan1School of Economics and Management, North China University of Technology, 100144 Beijing, P. R. ChinaEconomics and Management School, Beijing University of Technology, 100124 Beijing, P. R. ChinaRealistic network-like systems are usually composed of multiple networks with interacting relations such as school-enterprise research and development (R&D) collaboration networks. Here, we study the percolation properties of a special class of R&D collaboration network, namely institute-enterprise R&D collaboration networks (IERDCNs). We introduce two actual IERDCNs to show their structural properties, and we 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. We find that our predictions are in remarkable agreement with the data. We show applications of the framework to electronics R&D collaboration networkshttps://doi.org/10.1515/phys-2015-0008networkspercolationgenerating function64.60.aq64.60.ah 64.60.-i 89.75.fb |
| spellingShingle | Li Chenguang Zhang Yongan Percolation on the institute-enterprise R&D collaboration networks Open Physics networks percolation generating function 64.60.aq 64.60.ah 64.60.-i 89.75.fb |
| title | Percolation on the institute-enterprise R&D collaboration networks |
| title_full | Percolation on the institute-enterprise R&D collaboration networks |
| title_fullStr | Percolation on the institute-enterprise R&D collaboration networks |
| title_full_unstemmed | Percolation on the institute-enterprise R&D collaboration networks |
| title_short | Percolation on the institute-enterprise R&D collaboration networks |
| title_sort | percolation on the institute enterprise r d collaboration networks |
| topic | networks percolation generating function 64.60.aq 64.60.ah 64.60.-i 89.75.fb |
| url | https://doi.org/10.1515/phys-2015-0008 |
| work_keys_str_mv | AT lichenguang percolationontheinstituteenterpriserdcollaborationnetworks AT zhangyongan percolationontheinstituteenterpriserdcollaborationnetworks |