Optimization of spatial complex networks

S. Guillier, V. Muñoz, J. Rogan, R. Zarama and J.A. Valdivia

Physica A: Statistical Mechanics and its Applications, 2017, vol. 467, issue C, 465-473

Abstract: First, we estimate the connectivity properties of a predefined (fixed node locations) spatial network which optimizes a connectivity functional that balances construction and transportation costs. In this case we obtain a Gaussian distribution for the connectivity. However, when we consider these spatial networks in a growing process, we obtain a power law distribution for the connectivity. If the transportation costs in the functional involve the shortest geometrical path, we obtain a scaling exponent γ=2.5. However, if the transportation costs in the functional involve just the shortest path, we obtain γ=2.2. Both cases may be useful to analyze in some real networks.

Keywords: Spatial networks; Traffic networks (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:467:y:2017:i:c:p:465-473

DOI: 10.1016/j.physa.2016.09.011

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