Steiner Ratio for Manifolds

Details Steiner Ratio for Manifolds Steiner Ratio for Manifolds

2011-01-17

arxiv.org/abs/1101.3144v1

A.O. Ivanov, A.A. Tuzhilin, D. Cieslik, Steiner Ratio for Manifolds, Mathematical Notes, 2003, v. 74, N 3-4, pp. 367-374

Mathematics

Metric Geometry

11 pages

Scientific paper

10.1023/A:1026106802540

The Steiner ratio characterizes the greatest possible deviation of the length of a minimal spanning tree from the length of the minimal Steiner tree. In this paper, estimates of the Steiner ratio on Riemannian manifolds are obtained. As a corollary, the Steiner ratio for flat tori, flat Klein bottles, and projective plane of constant positive curvature are computed. Steiner ratio - Steiner problem - Gilbert--Pollack conjecture - surfaces of constant curvature

Affiliated with

Also associated with

No associations

Rating

Steiner Ratio for Manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Steiner Ratio for Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Steiner Ratio for Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285292