Bifurcations of Steiner minimal trees and minimal fillings for non-convex four-point boundaries and Steiner subratio for the Euclidean plane

DOI10.3103/S0027132216020078zbMath1343.51003MaRDI QIDQ2628769

E. I. Stepanova

Publication date: 15 July 2016

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

bifurcation diagramsSteiner minimal treesminimal fillingsfour-pointed Steiner subratio

Mathematics Subject Classification ID

Steiner systems in finite geometry (51E10)

Cites Work

• Triangle centers as functions
• The Steiner ratio of several discrete metric spaces
• The Steiner ratio for manifolds.
• The Steiner subratio of five points on a plane and four points in three-dimensional space
• One-dimensional Gromov minimal filling problem
• Branching extremals of the functional of $ \lambda$-normed length
• An analogue of Morse theory for planar linear networks and the generalized Steiner problem

This page was built for publication: Bifurcations of Steiner minimal trees and minimal fillings for non-convex four-point boundaries and Steiner subratio for the Euclidean plane