Directional derivative of the weight of a minimal filling in Riemannian manifolds

DOI10.3103/S0027132215010039zbMath1320.05023WikidataQ115223439 ScholiaQ115223439MaRDI QIDQ493881

E. I. Stepanova

Publication date: 4 September 2015

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

zbMATH Keywords

Steiner sub-ratioSteiner-Gromov ratio

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Metric spaces, metrizability (54E35) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Distance in graphs (05C12)

Related Items (1)

Bifurcations of minimal fillings for four points on the Euclidean plane

Cites Work

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• A variational approach to the Steiner network problem
• The Steiner ratio conjecture for six points
• The Steiner ratio conjecture for cocircular points
• Graham's problem on shortest networks for points on a circle
• Differential calculus on the space of Steiner minimal trees in Riemannian manifolds
• One-dimensional Gromov minimal filling problem
• Steiner Trees for Terminals Constrained to Curves
• Degree-five Steiner points cannot reduce network costs for planar sets
• A formula for the weight of a minimal filling of a finite metric space

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