The Steiner tree problem revisited through rectifiable G-currents
Optimization and Control
2014-08-13 v1
Abstract
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-minimization problem for -dimensional currents with coefficients in a suitable normed group. The representation used for these currents allows to state a calibration principle for this problem. We also exhibit calibrations in some examples.
Cite
@article{arxiv.1408.2696,
title = {The Steiner tree problem revisited through rectifiable G-currents},
author = {Andrea Marchese and Annalisa Massaccesi},
journal= {arXiv preprint arXiv:1408.2696},
year = {2014}
}