Definition
In vector space, the distance between two objects can be computed as a function of the components of the vectors representing the objects. A typical distance function for multidimensional vector spaces is the well-known Minkowski metric, with the Euclidean metric as a popular case for two-dimensional space. Therefore, the distance computation in multidimensional vector spaces is fast because its complexity depends on the number of dimensions which is limited to two or three in geospatial applications. However, with road-networks, the distance between two objects is measured by their network distance, i.e., the length of the shortest path through the network edges that connects the two locations. This computationally expensive network-based metric mainly depends on the connectivity of the network. For example, representing a road network as a graph with e weighted edges and vvertices, the...
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Shahabi, C. (2009). Road Networks. In: LIU, L., ÖZSU, M.T. (eds) Encyclopedia of Database Systems. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-39940-9_319
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DOI: https://doi.org/10.1007/978-0-387-39940-9_319
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