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APS » Journals » Phys. Rev. Lett. » Volume 84 » Issue 20
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Phys. Rev. Lett. 84, 4745–4748 (2000)

Topology of the Fittest Transportation Network

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Jayanth R. Banavar1, Francesca Colaiori2, Alessandro Flammini3, Amos Maritan4, and Andrea Rinaldo5
1Department of Physics and Center for Materials Physics, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802
2Department of Theoretical Physics, 1 Keble Road, University of Oxford, OX1-3NP, Oxford, United Kingdom
3Cavendish Laboratory, Madingley Road, University of Cambridge, CB3-0HE, Cambridge, United Kingdom
4International School for Advanced Studies (S.I.S.S.A.), Via Beirut 2-4, 34014 Trieste, Italy and INFM and the Abdus Salam International Center for Theoretical Physics, 34014 Trieste, Italy
5Dipartimento IMAGE, Universita' di Padova, via Loredan 20, I-35131 Padova, Italy

Received 15 October 1999; published in the issue dated 15 May 2000

The presence or absence of loops in the emergent transportation networks, that are characterized by a minimum overall cost, is shown to depend on the convexity of the cost function for the local transportation of material. Our results are directly applicable to a variety of situations across disciplines.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.4745
DOI:
10.1103/PhysRevLett.84.4745
PACS:
45.70.Vn, 05.60.Gg, 05.65.+b, 87.23.Kg
 
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