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math.OC2017★ 1 cited
The plasticity of non-overlapping convex sets in R^{2}
Anastasios Zachos
We study a generalization of the weighted Fermat-Torricelli problem in the plane, which is derived by replacing vertices of a convex polygon by 'small' closed convex curves with we…
math.OC2017
The plasticity of some mass transportation networks in the three dimensional Euclidean Space
Anastasios Zachos
We obtain an important generalization of the inverse weighted Fermat-Torricelli problem for tetrahedra in R^3 by assigning at the corresponding weighted Fermat-Torricelli point a r…