9 citations · 10 across the 3 of their papers we have counts for
3 papers
math.MG2012
Optimal Networks
A. O. Ivanov, A. A. Tuzhilin
This mini-course was given in the First Yaroslavl Summer School on Discrete and Computational Geometry in August 2012, organized by International Delaunay Laboratory "Discrete and…
math.MG2011★ 9 cited
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…
math.MG2011★ 1 cited
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…