18 citations · 133 across the 33 of their papers we have counts for
3 papers · 1 filter
Steiner Ratio for Manifolds
D. Cieslik, A. O. Ivanov, A. A. Tuzhilin
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 th…
One-dimensional minimal fillings with negative edge weights
Alexandr O. Ivanov, Zachar N. Ovsyannikov, Natalia P. Strelkova +1
Ivanov and Tuzhilin started an investigation of a particular case of Gromov Minimal Fillings problem (generalized to the case of stratified manifolds). Weighted graphs with non-neg…
One-dimensional Gromov minimal filling
A. O. Ivanov, A. A. Tuzhilin
The present paper opens a new branch in the theory of variational problems with branching extremals, the investigation of one-dimensional minimal fillings of finite pseudo-metric s…