Hierarchical Spatial Organization of Geographical Networks
arXiv:0706.3975 · doi:10.1088/1751-8113/41/22/224004
Abstract
In this work we propose the use of a hirarchical extension of the polygonality index as a means to characterize and model geographical networks: each node is associated with the spatial position of the nodes, while the edges of the network are defined by progressive connectivity adjacencies. Through the analysis of such networks, while relating its topological and geometrical properties, it is possible to obtain important indications about the development dynamics of the networks under analysis. The potential of the methodology is illustrated with respect to synthetic geographical networks.
3 page, 3 figures. A wokring manuscript: suggestions welcomed
References in corpus (12)
- Statistical mechanics of complex networks
- The structure and function of complex networks
- Characterization of complex networks: A survey of measurements
- The Network Analysis of Urban Streets: A Primal Approach
- Scaling laws in the spatial structure of urban road networks
- Structural Properties of Planar Graphs of Urban Street Patterns
- Hierarchical characterization of complex networks
- Predicting the connectivity of primate cortical networks from topological and spatial node properties
- Loops structure of the Internet at the Autonomous System Level
- Characterizing Polygonality in Biological Structures
- The complex channel networks of bone structure
- Characterizing the Hexagonality of Anodic Aluminium Oxide Nanoporous Arrays