Abrupt structural transitions involving functionally optimal networks
物理与社会
2016-09-08 v1 其他凝聚态物理
软凝聚态物质
其他定量生物学
摘要
We show analytically that abrupt structural transitions can arise in functionally optimal networks, driven by small changes in the level of transport congestion. Our findings are based on an exactly solvable model system which mimics a variety of biological and social networks. Our results offer an explanation as to why such diverse sets of network structures arise in Nature (e.g. fungi) under essentially the same environmental conditions. As a by-product of this work, we introduce a novel renormalization scheme involving `cost motifs' which describes analytically the average shortest path across multiple-ring-and-hub networks.
引用
@article{arxiv.physics/0508228,
title = {Abrupt structural transitions involving functionally optimal networks},
author = {Timothy C. Jarrett and Douglas J. Ashton and Mark Fricker and Neil F. Johnson},
journal= {arXiv preprint arXiv:physics/0508228},
year = {2016}
}
备注
5 pages, 4 figures