Discontinuous transition to loop formation in optimal supply networks
Supply networks with optimal structure do not contain loops but these can arise as a result of damages or fluctuations. Here Kaiser et al. uncover the mechanisms of loop formation, predict their location and draw analogies with loop formation in biological networks such as plants and animal vasculat...
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Nature Portfolio
2020
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oai:doaj.org-article:a5d2d1dd9f3442febaf907706ba099512021-12-02T14:40:27ZDiscontinuous transition to loop formation in optimal supply networks10.1038/s41467-020-19567-22041-1723https://doaj.org/article/a5d2d1dd9f3442febaf907706ba099512020-11-01T00:00:00Zhttps://doi.org/10.1038/s41467-020-19567-2https://doaj.org/toc/2041-1723Supply networks with optimal structure do not contain loops but these can arise as a result of damages or fluctuations. Here Kaiser et al. uncover the mechanisms of loop formation, predict their location and draw analogies with loop formation in biological networks such as plants and animal vasculature.Franz KaiserHenrik RonellenfitschDirk WitthautNature PortfolioarticleScienceQENNature Communications, Vol 11, Iss 1, Pp 1-11 (2020) |
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Science Q Franz Kaiser Henrik Ronellenfitsch Dirk Witthaut Discontinuous transition to loop formation in optimal supply networks |
description |
Supply networks with optimal structure do not contain loops but these can arise as a result of damages or fluctuations. Here Kaiser et al. uncover the mechanisms of loop formation, predict their location and draw analogies with loop formation in biological networks such as plants and animal vasculature. |
format |
article |
author |
Franz Kaiser Henrik Ronellenfitsch Dirk Witthaut |
author_facet |
Franz Kaiser Henrik Ronellenfitsch Dirk Witthaut |
author_sort |
Franz Kaiser |
title |
Discontinuous transition to loop formation in optimal supply networks |
title_short |
Discontinuous transition to loop formation in optimal supply networks |
title_full |
Discontinuous transition to loop formation in optimal supply networks |
title_fullStr |
Discontinuous transition to loop formation in optimal supply networks |
title_full_unstemmed |
Discontinuous transition to loop formation in optimal supply networks |
title_sort |
discontinuous transition to loop formation in optimal supply networks |
publisher |
Nature Portfolio |
publishDate |
2020 |
url |
https://doaj.org/article/a5d2d1dd9f3442febaf907706ba09951 |
work_keys_str_mv |
AT franzkaiser discontinuoustransitiontoloopformationinoptimalsupplynetworks AT henrikronellenfitsch discontinuoustransitiontoloopformationinoptimalsupplynetworks AT dirkwitthaut discontinuoustransitiontoloopformationinoptimalsupplynetworks |
_version_ |
1718390315282333696 |