Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5103449 | Physica A: Statistical Mechanics and its Applications | 2017 | 9 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
S. Guillier, V. Muñoz, J. Rogan, R. Zarama, J.A. Valdivia,