Faithin Omaha eBook Collection

Download or read book Morphogenesis of Complex Networks written by Michele Tirico and published by . This book was released on 2020 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The characteristics, functions and morphogenetic processes of a large number of complex spatial networks are influenced by the position and the geometry of their constituent elements. In this work, we address the computational aspects of the morphogenesis of complex networks by proposing a general model, simulating their formation. The networks are generated under the influence of constraints expressed through a vector field that is determined using a reaction-diffusion system. We use the Gray-Scott model to produce a wide variety of dynamic patterns. The resulting vector field controls the geometry and the growth rate of the constructed network that feeds back the reaction-diffusion process. A study was carried out on the influence of the patterns and feedback processes on the structure of the obtained networks using measures from graph theory and multi-fractality theory. A process of validation and evaluation of the model's behaviour was carried out and applied by comparing the networks obtained to largest French cities and the most relevant geometric planar graphs.