Corpus ID: 7354586

Abrupt structural transitions involving functionally optimal networks

@article{Jarrett2005AbruptST,
  title={Abrupt structural transitions involving functionally optimal networks},
  author={Timothy C. Jarrett and D. Ashton and M. Fricker and N. Johnson},
  journal={arXiv: Physics and Society},
  year={2005}
}
  • Timothy C. Jarrett, D. Ashton, +1 author N. Johnson
  • Published 2005
  • Mathematics, Physics, Biology
  • arXiv: Physics and Society
  • 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… CONTINUE READING

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