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Topology of the fittest transportation network
J R Banavar1, F Colaiori, A Flammini
1Department of Physics and Center for Materials Physics, 104 Davey Laboratory, The Pennsylvania State University, University Park, Pennsylvania 16802, USA.
Physical Review Letters
|September 16, 2000
Abstract:
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.