BioND — Dynamics of Biological Networks

Design of Self-Organising Networks: Creating specified degree distributions

Holly Silk, Martin Homer, and Thilo Gross
IEEE Transactions on Network Science and Engineering 3(3), 147 - 158, 2016.
arXiv:1510.05045

Abstract

Abstract.

A key problem in the study and design of complex systems is the apparent disconnection between the microscopic and the macroscopic. It is not straightforward to identify the local interactions that give rise to an observed global phenomenon, nor is it simple to design a system that will exhibit some desired global property using only local knowledge. Here we propose a methodology that allows for the identification of local interactions that give rise to a desired global phenomenon of a network, specifically the degree distribution. Given a set of observable processes acting on a network, we determine the conditions that they must satisfy in order to generate a desired steady-state degree distribution. We thereby provide a simple example for a class of tasks where a system can be designed to self-organize to a given state.

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