Numerical Calibration of Steiner trees

Article, Preprint English OPEN
Massaccesi , Annalisa; Oudet , Edouard; Velichkov , Bozhidar;
  • Publisher: Springer Verlag (Germany)
  • Related identifiers: doi: 10.1007/s00245-017-9421-5
  • Subject: Steiner tree problem | Minimal surface | [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] | [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] | [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA] | 35R35, 49M05, 35J25, 49J45 | [ MATH.MATH-DG ] Mathematics [math]/Differential Geometry [math.DG] | Calibration
    arxiv: Mathematics::Metric Geometry | Computer Science::Computational Geometry

International audience; In this paper we propose a variational approach to the Steiner tree problem, which is based on calibrations in a suitable algebraic environment for polyhedral chains which represent our candidates. This approach turns out to be very efficient fro... View more
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