18 citations · 133 across the 33 of their papers we have counts for
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math.MG2014
Branched Coverings and Steiner Ratio
Alexandr Ivanov, Alexey Tuzhilin
For a branched locally isometric covering of metric spaces with intrinsic metrics, it is proved that the Steiner ratio of the base is not less than the Steiner ratio of the total s…
math.MG2014
Minimal Spanning Trees on Infinite Sets
A. O. Ivanov, A. A. Tuzhilin
Minimal spanning trees on infinite vertex sets are investigated. A criterion for minimality of a spanning tree having a finite length is obtained, which generalizes the correspondi…
math.MG2014★ 2 cited
Du-Hwang Characteristic Area: Catch-22
A. O. Ivanov, A. A. Tuzhilin
The paper is devoted to description of two interconnected mistakes generated by the gap in the Du and Hwang approach to Gilbert-Pollack Steiner ratio conjecture.