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How can graph theory be used to model urban space? 


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Graph theory can be used to model urban space by representing the connectivity structure between units of space as a weighted graph . This allows for the analysis of spatial networks using graph theory and spectral graph theory. Different methods have been proposed to tackle the complexity of urban spatial networks, such as the Dynamic Geometric Network Model, which is specifically adapted to the verticalized urban environment . Road networks can also be represented as graphs, allowing for deep analysis of spatial networks and tracing back aspects of historical and geographical contexts of city formation . Another approach is to use objects as textural primitives and exploit their spatial patterns, clustering them into a graph and classifying them based on their arrangements . Graph representations of urban spatial patterns can be used to understand urban forms, detect urban sprawl, and identify hidden community structures .

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The paper discusses using graph representations of urban spatial patterns to understand urban forms and detect urban sprawl.
Open accessProceedings ArticleDOI
E. Dogrusoz, Selim Aksoy 
23 Jul 2007
31 Citations
Graph theory can be used to model urban space by representing geospatial objects as nodes in a graph and using their spatial arrangements as edges. This allows for the analysis of urban development and classification of building groups.
Graph theory can be used to model urban space by representing the various layers and connections of the verticalized urban environment, allowing for a comprehensive and accurate three-dimensional description of the urban space.
Open accessProceedings Article
01 Jan 2016
4 Citations
Graph theory can be used to model urban space by representing the connectivity structure between units of space as a weighted graph and analyzing it using graph theory and spectral graph theory.
Graph theory can be used to model urban space by representing road networks as graphs and analyzing their topological and topographical properties.

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