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Application of graph theory to the morphological analysis of settlements

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  • Szmytkie Robert

    (Institute of Geography and Regional Development, University of Wrocław, Poland)

Abstract

In the following paper, the analyses of morphology of settlements were conducted using graph methods. The intention of the author was to create a quantifiable and simple measure, which, in a quantitative way, would express the degree of development of a graph (the spatial pattern of settlement). When analysing examples of graphs assigned to a set of small towns and large villages, it was noticed that the graph development index should depend on: a relative number of edges in relation to the number of nodes (β index), the number of cycles (urban blocks), which evidences the complexity of the spatial pattern of settlement, and the average rank of nodes of a graph, which expresses the degree of complexity of a street network.

Suggested Citation

  • Szmytkie Robert, 2017. "Application of graph theory to the morphological analysis of settlements," Quaestiones Geographicae, Sciendo, vol. 36(4), pages 65-80, December.
    • Handle: RePEc:vrs:quageo:v:36:y:2017:i:4:p:65-80:n:5
    DOI: 10.1515/quageo-2017-0036
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    References listed on IDEAS

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    1. Feng Xie & David Levinson, 2009. "Modeling the Growth of Transportation Networks: A Comprehensive Review," Networks and Spatial Economics, Springer, vol. 9(3), pages 291-307, September.
    2. Feng Xie & David M. Levinson, 2011. "Evolving Transportation Networks," Transportation Research, Economics and Policy, Springer, number 978-1-4419-9804-0, April.
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