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An algorithm to compute data diversity index in spatial networks

Author

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  • Agryzkov, Taras
  • Tortosa, Leandro
  • Vicent, Jose F.

Abstract

Diversity is an important measure that according to the context, can describe different concepts of general interest: competition, evolutionary process, immigration, emigration and production among others. It has been extensively studied in different areas, as ecology, political science, economy, sociology and others. The quality of spatial context of the city can be gauged through this measure. The spatial context with its corresponding dataset can be modelled using spatial networks. Consequently, this allows us to study the diversity of data present in this specific type of networks. In this paper we propose an algorithm to measure diversity in spatial networks based on the topology and the data associated to the network. In the experiments developed with networks of different sizes, it is observed that the proposed index is independent of the size of the network, but depends on its topology.

Suggested Citation

  • Agryzkov, Taras & Tortosa, Leandro & Vicent, Jose F., 2018. "An algorithm to compute data diversity index in spatial networks," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 63-75.
    • Handle: RePEc:eee:apmaco:v:337:y:2018:i:c:p:63-75
    DOI: 10.1016/j.amc.2018.04.068
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    References listed on IDEAS

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    6. Leslie Hannah & J. A. Kay, 1977. "The Measurement of Concentration," Palgrave Macmillan Books, in: Concentration in Modern Industry, chapter 4, pages 41-63, Palgrave Macmillan.
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