Environment and Planning B Planning and Design · 2004 · 586 citations · 17 references
ComputingUrban PlanningUrban StudiesSpatial AnalysisUrban GeographyUrban MorphologyComputational TopologyGraph AlgorithmsGraph TheoryNetwork TopologySmall-world NetworksUrban NetworksAverage Path LengthClusteringRoad Network AnalysisRoad Network TopologyStreet Network TopologyTopological AnalysisUrban Network StructureUrban Street Network Analysis
The authors propose a topological analysis of large urban street networks based on a computational and functional graph representation. This representation gives a functional view in which vertices represent named streets and edges represent street intersections. A range of graph measures, including street connectivity, average path length, and clustering coefficient, are computed for structural analysis. In order to characterise different clustering degrees of streets in a street network they generalise the clustering coefficient to a k-clustering coefficient that takes into account k neighbours. Based on validations applied to three cities, the authors show that large urban street networks form small-world networks but exhibit no scale-free property.
17
Collective dynamics of ‘small-world’ networks
Duncan J. Watts, Steven H. Strogatz · Nature · 1998 · 43.2K citations
Emergence of Scaling in Random Networks
Albert-Ĺaszló Barabási, Réka Albert · Science · 1999 · 36.4K citations · Full text
A note on two problems in connexion with graphs
E. Dijkstra · Numerische Mathematik · 1959 · 23.8K citations
Diameter of the World-Wide Web
Réka Albert, Hawoong Jeong, Albert-Ĺaszló Barabási · Nature · 1999 · 4.3K citations · Full text