2 papers
math.MG2026
On the Existence of Minimal Parametric Networks
Arsen Kh. Galstyan
The paper continues the investigation of conditions for the existence of minimal networks in metric spaces. We introduce the notion of a compactly equipped pseudometric space, in w…
math.MG2026
Minimal Parametric Networks in Hyperspaces and their Properties
Arsen Galstyan
This work investigates minimal parametric networks in hyperspaces of closed subsets of metric spaces endowed with the Hausdorff distance. It is shown that the problems of finding s…