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Hierarchical spatial organization of geographical networks

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Published 21 May 2008 2008 IOP Publishing Ltd
, , Citation Bruno A N Travençolo and Luciano da F Costa 2008 J. Phys. A: Math. Theor. 41 224004 DOI 10.1088/1751-8113/41/22/224004

1751-8121/41/22/224004

Abstract

In this work, we propose a hierarchical extension of the polygonality index as the means to characterize geographical planar networks. By considering successive neighborhoods around each node, it is possible to obtain more complete information about the spatial order of the network at progressive spatial scales. The potential of the methodology is illustrated with respect to synthetic and real geographical networks.

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10.1088/1751-8113/41/22/224004