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Robustness and network evolution—an entropic principle

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  • Demetrius, Lloyd
  • Manke, Thomas

Abstract

This article introduces the concept of network entropy as a characteristic measure of network topology. We provide computational and analytical support for the hypothesis that network entropy is a quantitative measure of robustness. We formulate an evolutionary model based on entropy as a selective criterion and show that (a) it predicts the direction of changes in network structure over evolutionary time and (b) it accounts for the high degree of robustness and the heterogenous connectivity distribution, which is often observed in biological and technological networks. Our model is based on Darwinian principles of evolution and preferentially selects networks according to a global fitness criterion, rather than local preferences in classical models of network growth. We predict that the evolutionarily stable states of evolved networks will be characterized by extremal values of network entropy.

Suggested Citation

  • Demetrius, Lloyd & Manke, Thomas, 2005. "Robustness and network evolution—an entropic principle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 682-696.
    • Handle: RePEc:eee:phsmap:v:346:y:2005:i:3:p:682-696
    DOI: 10.1016/j.physa.2004.07.011
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    References listed on IDEAS

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    1. H. Jeong & S. P. Mason & A.-L. Barabási & Z. N. Oltvai, 2001. "Lethality and centrality in protein networks," Nature, Nature, vol. 411(6833), pages 41-42, May.
    2. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
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    Cited by:

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    2. Singh, Priti & Chakraborty, Abhishek & Manoj, B.S., 2017. "Link Influence Entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 701-713.
    3. Liu, Jiming & Shi, Benyun, 2012. "Towards understanding the robustness of energy distribution networks based on macroscopic and microscopic evaluations," Energy Policy, Elsevier, vol. 49(C), pages 318-327.
    4. Daeyup Lee & Hail Park, 2019. "Measuring Global Financial Linkages: A Network Entropy Approach," Sustainability, MDPI, vol. 11(17), pages 1-10, August.
    5. Umut Yılmaz Çetinkaya & Erkan Erdil, 2016. "Cohesion and Competition of Europe: Innovation Policy from the Perspective of Networks and Entropy," Foresight-Russia Форсайт, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 10(4 (eng)), pages 7-24.
    6. Umut Yilmaz Cetinkaya & Erkan Erdil, 2015. "Cohesion and Competition of Europe: Policy Suggestions from The Perspective of Network and Entropy," STPS Working Papers 1505, STPS - Science and Technology Policy Studies Center, Middle East Technical University, revised Dec 2015.
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    9. Elisa Frutos Bernal & Angel Martín del Rey, 2019. "Study of the Structural and Robustness Characteristics of Madrid Metro Network," Sustainability, MDPI, vol. 11(12), pages 1-24, June.

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