Minimal NetworksThe Steiner Problem and Its Generalizations AO Ivanov, AA Tuzhilin CRC press, 1994 | 278 | 1994 |
Branching solutions to one-dimensional variational problems AO Ivanov, AA Tuzhilin World Scientific, 2001 | 79 | 2001 |
The Gromov-Hausdorff metric on the space of compact metric spaces is strictly intrinsic A Ivanov, N Nikolaeva, A Tuzhilin arXiv preprint arXiv:1504.03830, 2015 | 71 | 2015 |
Geometry of minimal networks and the one-dimensional Plateau problem AO Ivanov, AA Tuzhilin Russian Mathematical Surveys 47 (2), 59, 1992 | 65 | 1992 |
The Steiner ratio Gilbert–Pollak conjecture is still open: Clarification statement AO Ivanov, AA Tuzhilin Algorithmica 62, 630-632, 2012 | 57 | 2012 |
One-dimensional Gromov minimal filling problem AO Ivanov, AA Tuzhilin Sbornik: Mathematics 203 (5), 677, 2012 | 55 | 2012 |
Realizations of Gromov-Hausdorff Distance A Ivanov, S Iliadis, A Tuzhilin arXiv preprint arXiv:1603.08850, 2016 | 42 | 2016 |
Solution of the Steiner problem for convex boundaries AO Ivanov, AA Tuzhilin Russian Mathematical Surveys 45 (2), 214, 1990 | 38 | 1990 |
Isometry Group of Gromov--Hausdorff Space A Ivanov, A Tuzhilin arXiv preprint arXiv:1806.02100, 2018 | 36 | 2018 |
The Steiner problem for convex boundaries. I. General case AO Ivanov, AA Tuzhilin Adv. Soviet Math 15, 15-92, 1993 | 29 | 1993 |
Local structure of Gromov–Hausdorff space, and isometric embeddings of finite metric spaces into this space S Iliadis, AO Ivanov, AA Tuzhilin Topology and its Applications 221, 393-398, 2017 | 28 | 2017 |
Extreme Networks Theory AO Ivanov, AA Tuzhilin Moscow–Izhevsk, Inst. Komp. Issl, 2003 | 27 | 2003 |
Classification of closed minimal networks on flat two-dimensional tori AO Ivanov, IV Ptitsyna, AA Tuzhilin Matematicheskii Sbornik 183 (12), 3-44, 1992 | 26 | 1992 |
The Steiner problem for convex boundaries or flat minimal networks AO Ivanov, AA Tuzhilin Mat. Sb. 182 (12), 1813-1844, 1991 | 26 | 1991 |
Weighted minimal binary trees AO Ivanov, AA Tuzhilin Russian Mathematical Surveys 50 (3), 623, 1995 | 24 | 1995 |
Geometry of compact metric space in terms of Gromov-Hausdorff distances to regular simplexes AO Ivanov, AA Tuzhilin arXiv preprint arXiv:1607.06655, 2016 | 21 | 2016 |
Theory of extremal networks AO Ivanov, AA Tuzhilin Modern Mathematics, 2003 | 21 | 2003 |
Local structure of Gromov–Hausdorff space around generic finite metric spaces AO Ivanov, AA Tuzhilin Lobachevskii Journal of Mathematics 38, 998-1006, 2017 | 20 | 2017 |
Steiner ratio for manifolds AO Ivanov, AA Tuzhilin, D Cieslik Mathematical Notes 74, 367-374, 2003 | 18 | 2003 |
Fermat–Steiner problem in the metric space of compact sets endowed with Hausdorff distance A Ivanov, A Tropin, A Tuzhilin Journal of Geometry 108, 575-590, 2017 | 17 | 2017 |