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Simulating Network Structures Using Bernoulli'S Principle

Author

Listed:
  • YICHEOL HAN

    (Department of Rural Systems Engineering, Seoul National University, Seoul 151-921, Republic of Korea)

  • STEPHAN J. GOETZ

    (Northeast Regional Center for Rural Development and Department of Agricultural Economics and Rural Sociology, Pennsylvania State University, PA 16802-5602, USA)

  • JEONGJAE LEE

    (Department of Rural Systems Engineering and Research Institute for Agriculture and Life Science, Seoul National University, Seoul 151-921, Republic of Korea)

  • SEONGSOO YOON

    (Department of Agricultural and Rural Engineering, Chungbuk National University, Chungbuk 361-763, Republic of Korea)

Abstract

Using the fact that connections between vertices of a network often represent directed and weighted flows, we apply hydraulic principles to develop novel insights into network structure and growth. We develop a network model based on Bernoulli's principle and use it to analyze changes in network properties. Simulation results show that velocity of flow, resistance, fitness and existing connections in a system determine network connections of a vertex as well as overall network structure. We demonstrate how network structure is affected by changes in velocity and resistance, and how one vertex can monopolize connections within a network. Using Bernoulli's principle, we are able to independently reproduce key results in the network literature.

Suggested Citation

  • Yicheol Han & Stephan J. Goetz & Jeongjae Lee & Seongsoo Yoon, 2012. "Simulating Network Structures Using Bernoulli'S Principle," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1-14.
  • Handle: RePEc:wsi:acsxxx:v:15:y:2012:i:05:n:s0219525912500324
    DOI: 10.1142/S0219525912500324
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    1. ., 2006. "Physical and Social Indicators," Chapters, in: Middle East Oil Exporters, chapter 5, Edward Elgar Publishing.
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