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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access October 9, 2014

Percolation on the institute-enterprise R&D collaboration networks

  • Chenguang Li EMAIL logo and Yongan Zhang
From the journal Open Physics

Abstract

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

References

[1] R. Albert, H. Jeong, A. L. Barabasi, Nature 401, 130 (1999)10.1038/43601Search in Google Scholar

[2] D. S. Callaway, M. E. J. Newman, S. H. Strogatz, D. J.Watts, Phys. Rev. Lett. 85, 5468 (2000)10.1103/PhysRevLett.85.5468Search in Google Scholar PubMed

[3] M. E. J. Newman, Proc. Natl. Acad. Sci. 98, 404 (2001)10.1073/pnas.98.2.404Search in Google Scholar PubMed PubMed Central

[4] J. Stelling, S. Klamt, K. Bettenbrock, S. Schuster, E. D. Gilles, Nature 420, 190 (2002)10.1038/nature01166Search in Google Scholar PubMed

[5] C. M. Song, S. Havlin, H. A. Makse, Nature 433, 392 (2005)10.1038/nature03248Search in Google Scholar PubMed

[6] J. Nagler, A. Levina, M. Timme, Nat. Phys. 7, 265 (2011)10.1038/nphys1860Search in Google Scholar

[7] Y. Y. Liu, E. Csoka, H. J. Zhou, M. Posfai, Phys. Rev. Lett. 109, 205703 (2012)10.1103/PhysRevLett.109.205703Search in Google Scholar PubMed

[8] E. A. Leicht, R. M. D’Souza, arXiv:0907.0894 [cond-mat.dis-nn]Search in Google Scholar

[9] S. V. Buldyrev, R. Parshani, G. Paul, H. E. Stanley, S. Havlin, Nature 464, 1025 (2010)10.1038/nature08932Search in Google Scholar PubMed

[10] R. Parshani, S. V. Buldyrev, S. Havlin, Phys. Rev. Lett. 105, 048701 (2010)10.1103/PhysRevLett.105.048701Search in Google Scholar PubMed

[11] S. V. Buldyrev, N.W. Shere, G. A. Cwilich, Phys. Rev. E 83, 016112 (2011)10.1103/PhysRevE.83.016112Search in Google Scholar PubMed

[12] J. Shao, S. V. Buldyrev, S. Havlin, H. E. Stanley, Phys. Rev. E 83, 036116 (2011) 10.1103/PhysRevE.83.036116Search in Google Scholar PubMed

[13] J. X. Gao, S. V. Buldyrev, H. E. Stanley, S. Havlin, Nat. Phys. 8, 40 (2012)10.1038/nphys2180Search in Google Scholar

[14] A. Bashan, R. Parshani, S. Havlin, Phys. Rev. E. 83, 051127 (2011)10.1103/PhysRevE.83.051127Search in Google Scholar PubMed

[15] X. Q. Huang, J. X. Gao, S. V. Buldyrev, S. Havlin, H. E. Stanley, Phys. Rev. E 83, 065101 (2011)10.1103/PhysRevE.83.065101Search in Google Scholar PubMed

[16] T. Fu, Y. N. Chen, Z. Qin, L. P. Guo, Physica A 392, 2807 (2013)10.1016/j.physa.2013.02.018Search in Google Scholar

[17] S. Valverde, R. V. Sole, M. A. Bedau, N. Packard, Phys. Rev. E 76, 056118 (2007)10.1103/PhysRevE.76.056118Search in Google Scholar PubMed

[18] M. E. J. Newman, S. H. Strogatz, D. J. Watts, Phys. Rev. E 64, 026118 (2001)10.1103/PhysRevE.64.026118Search in Google Scholar PubMed

[19] M. E. J. Newman, Phys. Rev. E 66, 016128 (2002)10.1103/PhysRevE.66.016128Search in Google Scholar PubMed

[20] T. Kalisky, R. Cohen, Phys. Rev. E 73, 035101 (2006)10.1103/PhysRevE.73.035101Search in Google Scholar PubMed

[21] J. X. Gao, S. V. Buldyrev, S. Havlin, H. E. Stanley, Phys. Rev. Lett. 107, 195701 (2011) 10.1103/PhysRevLett.107.195701Search in Google Scholar PubMed

Received: 2013-11-21
Accepted: 2014-8-23
Published Online: 2014-10-9
Published in Print: 2015-1-1

© 2015 C. Li, Y. Zhang

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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