Application of graph theory to the morphological analysis of settlements

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Date

2017-12

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Wydział Nauk Geograficznych i Geologicznych Uniwersytetu im. Adama Mickiewicza

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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.

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Keywords

graph methods, morphological analysis, morphology of settlements, Silesia (SW Poland)

Citation

Quaestiones Geographicae vol. 36 (4), 2017, pp. 65-80

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Uniwersytet im. Adama Mickiewicza w Poznaniu
Biblioteka Uniwersytetu im. Adama Mickiewicza w Poznaniu
Ministerstwo Nauki i Szkolnictwa Wyższego