A method for validating Rent’s rule for technological and biological networks
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| Title: | A method for validating Rent’s rule for technological and biological networks |
| Author: | Alcalde Cuesta, Fernando González Sequeiros, Pablo Lozano Rojo, Álvaro |
| Affiliation: | Universidade de Santiago de Compostela. Departamento de Didácticas Aplicadas Universidade de Santiago de Compostela. Departamento de Matemáticas |
| Subject: | Stochastic networks | Complex networks | |
| Date of Issue: | 2017-07-14 |
| Publisher: | Springer Nature |
| Citation: | Alcalde Cuesta, F., González Sequeiros, P., & Lozano Rojo, Á. (2017). A method for validating Rent’s rule for technological and biological networks. Scientific Reports, 7(1). http://dx.doi.org/10.1038/s41598-017-05670-w |
| Abstract: | Rent’s rule is empirical power law introduced in an effort to describe and optimize the wiring complexity of computer logic graphs. It is known that brain and neuronal networks also obey Rent’s rule, which is consistent with the idea that wiring costs play a fundamental role in brain evolution and development. Here we propose a method to validate this power law for a certain range of network partitions. This method is based on the bifurcation phenomenon that appears when the network is subjected to random alterations preserving its degree distribution. It has been tested on a set of VLSI circuits and real networks, including biological and technological ones. We also analyzed the effect of different types of random alterations on the Rentian scaling in order to test the influence of the degree distribution. There are network architectures quite sensitive to these randomization procedures with significant increases in the values of the Rent exponents |
| Publisher version: | https://doi.org/10.1038/s41598-017-05670-w |
| URI: | http://hdl.handle.net/10347/16775 |
| DOI: | 10.1038/s41598-017-05670-w |
| ISSN: | 2045-2322 |
| Rights: | © The Author(s) 2017. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ Atribución 4.0 Internacional |
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Except where otherwise noted, this item's license is described as © The Author(s) 2017. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/