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math.OC2014★ 29 cited
The Steiner tree problem revisited through rectifiable G-currents
Andrea Marchese, Annalisa Massaccesi
The Steiner tree problem can be stated in terms of finding a connected set of minimal length containing a given set of finitely many points. We show how to formulate it as a mass-m…
math.OC2014
An optimal irrigation network with infinitely many branching points
Andrea Marchese, Annalisa Massaccesi
The Gilbert-Steiner problem is a mass transportation problem, where the cost of the transportation depends on the network used to move the mass and it is proportional to a certain…