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Assessment of Centrality Properties of Akure Road NetworkKeywords: graph theory , road network , primal graph , centrality measures , self-organized cities Abstract: Three 1-square mile of different urban street networks were extracted from Akure road network and developed into primal graphs. The resulting edges and nodes in the network were described by their distance matrix. Shortest paths across the nodes were calculated as well as the centrality measures. The edge length distribution analysis of the network studied showed a single peak distribution found in cities with a pattern realized over a historical process, which was out of the control of any central planning agency. Further investigation into the correlation between centrality measures showed that they captured different properties with correspondingly low values. Degree centrality was found to be correlated over the network. This was linked to the spatial restraint imposed on the network by land use. Information centrality values revealed that not all nodes in a network perform the same function since the network was found to perform better when some nodes were deactivated. However, analysis carried out revealed that the betweeness centrality and information centrality values, which capture the load and the ability of a network to respond to deactivation of a network, were of utmost importance in assessing the network.
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