An evolutionary design of weighted minimum networks for four points in the three-dimensional Euclidean space

DOI10.1515/anly-2020-0042zbMath1465.51007OpenAlexW3134006656WikidataQ114053223 ScholiaQ114053223MaRDI QIDQ2031291

Anastasios N. Zachos

Publication date: 9 June 2021

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2020-0042

zbMATH Keywords

tetrahedrainverse Steiner tree problemweighted Steiner minimal treeweighted Steiner problem

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Steiner systems in finite geometry (51E10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Euclidean analytic geometry (51N20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A plasticity principle of some generalized Gauss trees
• A sausage heuristic for Steiner minimal trees in three-dimensional Euclidean space
• The weighted Fermat-Torricelli problem for tetrahedra and an ``inverse problem
• Geometric methods and optimization problems
• Steiner minimal trees
• Minimum networks for four points in space
• A plasticity principle of closed hexahedra in the three-dimensional Euclidean space
• The Fermat-Torricelli theorem in convex geometry
• A plasticity principle of convex quadrilaterals on a convex surface of bounded specific curvature
• The plasticity of some mass transportation networks in the three dimensional Euclidean Space
• The parameterized Steiner problem and the singular Plateau problem via energy
• The Fermat-Steiner Problem
• The plasticity of non-overlapping convex sets in R^{2}
• Four-point Fermat location problems revisited. New proofs and extensions of old results
• Steiner Minimal Trees

This page was built for publication: An evolutionary design of weighted minimum networks for four points in the three-dimensional Euclidean space