期刊
PHYSICAL REVIEW E
卷 74, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.74.026116
关键词
-
资金
- Natural Environment Research Council [NER/A/S/2002/00882] Funding Source: researchfish
We show that abrupt structural transitions can arise in functionally optimal networks, driven by small changes in the level of transport congestion. Our results offer an explanation as to why so many diverse species of network structure arise in nature (e.g., fungal systems) under essentially the same environmental conditions. Our findings are based on an exactly solvable model system which mimics a variety of biological and social networks. We then extend our analysis by introducing a renormalization scheme involving cost motifs, to describe analytically the average shortest path across multiple-ring-and-hub networks. As a consequence, we uncover a skin effect whereby the structure of the inner multiring core can cease to play any role in terms of determining the average shortest path across the network.
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