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Ivanov, Aleksandr Olegovich

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Author ID: ivanov.aleksandr-olegovich Recent zbMATH articles by "Ivanov, Aleksandr Olegovich"
Published as: Ivanov, A. O.; Ivanov, Alexander O.; Ivanov, Alexandr O.; Ivanov, A.; Ivanov, Aleksandr Olegovich; Ivanov, Alexander; Ivanov, Alexandr
External Links: MGP · Math-Net.Ru
Documents Indexed: 88 Publications since 1987, including 2 Books
Co-Authors: 29 Co-Authors with 69 Joint Publications
569 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 188 times in 97 Documents Cited by Year
One-dimensional Gromov minimal filling problem. Zbl 1248.05057
Ivanov, A. O.; Tuzhilin, A. A.
28
2012
Minimal networks: the Steiner problem and its generalizations. Zbl 0842.90116
Ivanov, Alexandr O.; Tuzhilin, Alexei A.
22
1994
Branching solutions to one-dimensional variational problems. Zbl 0983.05003
Ivanov, A. O.; Tuzhilin, A. A.
13
2001
The Gromov-Hausdorff metric on the space of compact metric spaces is strictly intrinsic. Zbl 1377.54030
Ivanov, A. O.; Nikolaeva, N. K.; Tuzhilin, A. A.
13
2016
Local structure of Gromov-Hausdorff space, and isometric embeddings of finite metric spaces into this space. Zbl 1373.51003
Iliadis, Stavros; Ivanov, Alexander O.; Tuzhilin, Alexey A.
10
2017
The Steiner ratio Gilbert-Pollak conjecture is still open. Zbl 1239.05033
Ivanov, A. O.; Tuzhilin, A. A.
9
2012
The Steiner ratio for manifolds. Zbl 1066.52009
Ivanov, A. O.; Tuzhilin, A. A.; Cieslik, D.
8
2003
Geometry of minimal networks and the one-dimensional Plateau problem. Zbl 0792.90083
Ivanov, A. O.; Tuzhilin, A. A.
8
1992
Sets admitting connection by graphs of finite length. Zbl 1081.54024
Ivanov, A. O.; Nikonov, I. M.; Tuzhilin, A. A.
5
2005
Branching geodesics in normed spaces. Zbl 1112.90377
Ivanov, A. O.; Tuzhilin, A. A.
4
2002
Differential calculus on the space of Steiner minimal trees in Riemannian manifolds. Zbl 1032.05034
Ivanov, A. O.; Tuzhilin, A. A.
4
2001
One-dimensional minimal fillings with negative edge weights. Zbl 1322.05047
Ivanov, A. O.; Ovsyannikov, Z. N.; Strelkova, N. P.; Tuzhilin, A. A.
4
2012
Minimal fillings of finite metric spaces: The state of the art. Zbl 1331.05071
Ivanov, Alexandr; Tuzhilin, Alexey
4
2014
Minimal networks: a review. Zbl 1359.05117
Ivanov, Alexander O.; Tuzhilin, Alexey A.
4
2016
Some problems concerning minimal networks. Zbl 0859.90115
Ivanov, A. O.; Tuzhilin, A. A.
3
1994
Local structure of Gromov-Hausdorff space around generic finite metric spaces. Zbl 1383.53037
Ivanov, A. O.; Tuzhilin, A. A.
3
2017
The Steiner problem on the plane or plane minimal nets. Zbl 0751.05029
Ivanov, A. O.; Tuzhilin, A. A.
3
1991
The Steiner problem for convex boundaries. I: The general case. Zbl 0787.05056
Ivanov, A. O.; Tuzhilin, A. A.
3
1993
The Steiner ratio: the current state. Zbl 1228.05121
Ivanov, A. O.; Tuzhilin, A. A.
3
2002
Immersed polygons and their diagonal triangulations. Zbl 1178.05034
Ivanov, A. O.; Tuzhilin, A. A.
3
2008
Planar Manhattan locally minimal and critical networks. Zbl 1140.90338
Ivanov, A. O.; Hong Van Le; Tuzhilin, A. A.
2
2001
The twist number of planar linear trees. Zbl 0868.05020
Ivanov, A. O.; Tuzhilin, A. A.
2
1996
Generalized Maxwell formula for the length of a minimal tree with a given topology. Zbl 1304.05017
Ivanov, A. O.; Tuzhilin, A. A.
2
2010
Fermat-Steiner problem in the metric space of compact sets endowed with Hausdorff distance. Zbl 1377.51006
Ivanov, Alexander; Tropin, Alexander; Tuzhilin, Alexey
2
2017
Stabilization of locally minimal trees. Zbl 1220.05018
Ivanov, A. O.; Tuzhilin, A. A.
2
2009
The Steiner problem for convex boundaries. II: The regular case. Zbl 0787.05057
Ivanov, A. O.; Tuzhilin, A. A.
2
1993
Classification of closed minimal networks on flat two-dimensional tori. Zbl 0818.90125
Ivanov, A. O.; Ptitsyna, I. V.; Tuzhilin, A. A.
2
1992
Uniqueness of Steiner minimal trees on boundaries in general position. Zbl 1168.05304
Ivanov, A. O.; Tuzhilin, A. A.
2
2006
Solution of the Steiner problem for convex boundaries. Zbl 0716.05025
Ivanov, A. O.; Tuzhilin, A. A.
2
1990
Weighted minimal binary trees. Zbl 0847.05040
Ivanov, A. O.; Tuzhilin, A. A.
2
1995
Branched coverings and Steiner ratio. Zbl 1348.90597
Ivanov, A. O.; Tuzhilin, A. A.
2
2016
The structure of minimal Steiner trees in the neighborhoods of the lunes of their edges. Zbl 1282.05030
Ivanov, A. O.; S”edina, O. A.; Tuzhilin, A. A.
1
2012
The classification of minimal skeletons with a regular boundary. Zbl 0871.51014
Ivanov, A. O.; Tuzhilin, A. A.
1
1996
Planar Manhattan local minimal and critical networks. Zbl 1012.05056
Ivanov, Alexandr O.; Hong Van Le; Tuzhilin, Alexey A.
1
2002
Geometry of convex polygons and locally minimal binary trees spanning these polygons. Zbl 0938.05034
Ivanov, A. O.; Tuzhilin, A. A.
1
1999
Nontrivial critical networks. Singularities of Lagrangians and a criterion for criticality. Zbl 0986.05031
Ivanov, A. O.; Le Hong Van; Tuzhilin, A. A.
1
2001
Steiner problem in the Gromov-Hausdorff space: the case of finite metric spaces. Zbl 1432.54028
Ivanov, A. O.; Nikolaeva, N. K.; Tuzhilin, A. A.
1
2019
Calibration forms and new examples of globally minimal surfaces. Zbl 0792.53053
Ivanov, A. O.
1
1993
Minimal trees for regular polygons: Linear parquets realization. Zbl 0841.05020
Ivanov, A. O.; Iskhakov, I. V.; Tuzhilin, A. A.
1
1993
Topologies of locally minimal planar binary trees. Zbl 0843.90123
Ivanov, A. O.; Tuzhilin, A. A.
1
1994
Computer modeling of curves and surfaces. Zbl 1221.37055
Ivanov, A. O.; Tuzhilin, A. A.; Fomenko, A. T.
1
2011
The Gromov-Hausdorff distances to simplexes. Zbl 1440.51002
Grigor’ev, D. S.; Ivanov, Aleksandr Olegovich; Tuzhilin, Alekseĭ Avgustinovich
1
2019
Isometry group of Gromov-Hausdorff space. Zbl 1474.53209
Ivanov, Alexander O.; Tuzhilin, Alexey A.
1
2019
Steiner problem in the Gromov-Hausdorff space: the case of finite metric spaces. Zbl 1432.54028
Ivanov, A. O.; Nikolaeva, N. K.; Tuzhilin, A. A.
1
2019
The Gromov-Hausdorff distances to simplexes. Zbl 1440.51002
Grigor’ev, D. S.; Ivanov, Aleksandr Olegovich; Tuzhilin, Alekseĭ Avgustinovich
1
2019
Isometry group of Gromov-Hausdorff space. Zbl 1474.53209
Ivanov, Alexander O.; Tuzhilin, Alexey A.
1
2019
Local structure of Gromov-Hausdorff space, and isometric embeddings of finite metric spaces into this space. Zbl 1373.51003
Iliadis, Stavros; Ivanov, Alexander O.; Tuzhilin, Alexey A.
10
2017
Local structure of Gromov-Hausdorff space around generic finite metric spaces. Zbl 1383.53037
Ivanov, A. O.; Tuzhilin, A. A.
3
2017
Fermat-Steiner problem in the metric space of compact sets endowed with Hausdorff distance. Zbl 1377.51006
Ivanov, Alexander; Tropin, Alexander; Tuzhilin, Alexey
2
2017
The Gromov-Hausdorff metric on the space of compact metric spaces is strictly intrinsic. Zbl 1377.54030
Ivanov, A. O.; Nikolaeva, N. K.; Tuzhilin, A. A.
13
2016
Minimal networks: a review. Zbl 1359.05117
Ivanov, Alexander O.; Tuzhilin, Alexey A.
4
2016
Branched coverings and Steiner ratio. Zbl 1348.90597
Ivanov, A. O.; Tuzhilin, A. A.
2
2016
Minimal fillings of finite metric spaces: The state of the art. Zbl 1331.05071
Ivanov, Alexandr; Tuzhilin, Alexey
4
2014
One-dimensional Gromov minimal filling problem. Zbl 1248.05057
Ivanov, A. O.; Tuzhilin, A. A.
28
2012
The Steiner ratio Gilbert-Pollak conjecture is still open. Zbl 1239.05033
Ivanov, A. O.; Tuzhilin, A. A.
9
2012
One-dimensional minimal fillings with negative edge weights. Zbl 1322.05047
Ivanov, A. O.; Ovsyannikov, Z. N.; Strelkova, N. P.; Tuzhilin, A. A.
4
2012
The structure of minimal Steiner trees in the neighborhoods of the lunes of their edges. Zbl 1282.05030
Ivanov, A. O.; S”edina, O. A.; Tuzhilin, A. A.
1
2012
Computer modeling of curves and surfaces. Zbl 1221.37055
Ivanov, A. O.; Tuzhilin, A. A.; Fomenko, A. T.
1
2011
Generalized Maxwell formula for the length of a minimal tree with a given topology. Zbl 1304.05017
Ivanov, A. O.; Tuzhilin, A. A.
2
2010
Stabilization of locally minimal trees. Zbl 1220.05018
Ivanov, A. O.; Tuzhilin, A. A.
2
2009
Immersed polygons and their diagonal triangulations. Zbl 1178.05034
Ivanov, A. O.; Tuzhilin, A. A.
3
2008
Uniqueness of Steiner minimal trees on boundaries in general position. Zbl 1168.05304
Ivanov, A. O.; Tuzhilin, A. A.
2
2006
Sets admitting connection by graphs of finite length. Zbl 1081.54024
Ivanov, A. O.; Nikonov, I. M.; Tuzhilin, A. A.
5
2005
The Steiner ratio for manifolds. Zbl 1066.52009
Ivanov, A. O.; Tuzhilin, A. A.; Cieslik, D.
8
2003
Branching geodesics in normed spaces. Zbl 1112.90377
Ivanov, A. O.; Tuzhilin, A. A.
4
2002
The Steiner ratio: the current state. Zbl 1228.05121
Ivanov, A. O.; Tuzhilin, A. A.
3
2002
Planar Manhattan local minimal and critical networks. Zbl 1012.05056
Ivanov, Alexandr O.; Hong Van Le; Tuzhilin, Alexey A.
1
2002
Branching solutions to one-dimensional variational problems. Zbl 0983.05003
Ivanov, A. O.; Tuzhilin, A. A.
13
2001
Differential calculus on the space of Steiner minimal trees in Riemannian manifolds. Zbl 1032.05034
Ivanov, A. O.; Tuzhilin, A. A.
4
2001
Planar Manhattan locally minimal and critical networks. Zbl 1140.90338
Ivanov, A. O.; Hong Van Le; Tuzhilin, A. A.
2
2001
Nontrivial critical networks. Singularities of Lagrangians and a criterion for criticality. Zbl 0986.05031
Ivanov, A. O.; Le Hong Van; Tuzhilin, A. A.
1
2001
Geometry of convex polygons and locally minimal binary trees spanning these polygons. Zbl 0938.05034
Ivanov, A. O.; Tuzhilin, A. A.
1
1999
The twist number of planar linear trees. Zbl 0868.05020
Ivanov, A. O.; Tuzhilin, A. A.
2
1996
The classification of minimal skeletons with a regular boundary. Zbl 0871.51014
Ivanov, A. O.; Tuzhilin, A. A.
1
1996
Weighted minimal binary trees. Zbl 0847.05040
Ivanov, A. O.; Tuzhilin, A. A.
2
1995
Minimal networks: the Steiner problem and its generalizations. Zbl 0842.90116
Ivanov, Alexandr O.; Tuzhilin, Alexei A.
22
1994
Some problems concerning minimal networks. Zbl 0859.90115
Ivanov, A. O.; Tuzhilin, A. A.
3
1994
Topologies of locally minimal planar binary trees. Zbl 0843.90123
Ivanov, A. O.; Tuzhilin, A. A.
1
1994
The Steiner problem for convex boundaries. I: The general case. Zbl 0787.05056
Ivanov, A. O.; Tuzhilin, A. A.
3
1993
The Steiner problem for convex boundaries. II: The regular case. Zbl 0787.05057
Ivanov, A. O.; Tuzhilin, A. A.
2
1993
Calibration forms and new examples of globally minimal surfaces. Zbl 0792.53053
Ivanov, A. O.
1
1993
Minimal trees for regular polygons: Linear parquets realization. Zbl 0841.05020
Ivanov, A. O.; Iskhakov, I. V.; Tuzhilin, A. A.
1
1993
Geometry of minimal networks and the one-dimensional Plateau problem. Zbl 0792.90083
Ivanov, A. O.; Tuzhilin, A. A.
8
1992
Classification of closed minimal networks on flat two-dimensional tori. Zbl 0818.90125
Ivanov, A. O.; Ptitsyna, I. V.; Tuzhilin, A. A.
2
1992
The Steiner problem on the plane or plane minimal nets. Zbl 0751.05029
Ivanov, A. O.; Tuzhilin, A. A.
3
1991
Solution of the Steiner problem for convex boundaries. Zbl 0716.05025
Ivanov, A. O.; Tuzhilin, A. A.
2
1990
all top 5

Cited by 100 Authors

19 Ivanov, Aleksandr Olegovich
18 Tuzhilin, Alexey Avgustinovich
4 Ovsyannikov, Z. N.
4 Stepanova, E. I.
3 Bednov, Borislav Borisovich
3 Pakhomova, A. S.
3 Paolini, Emanuele
3 Rubleva, Olga V.
3 Strelkova, N. P.
3 Zachos, Anastasios N.
2 Antonyan, Sergey A.
2 Brazil, Marcus N.
2 Innami, Nobuhiro
2 Kim, Byung Hak
2 Malysheva, O. S.
2 Nikolaeva, N. K.
2 Pavlov, Mikhail
2 Ras, Charl J.
2 Stepanov, Eugene
2 Swanepoel, Konrad J.
2 Thomas, Doreen Anne
2 Zavalnyuk, E. A.
1 Alkalaev, Konstantin
1 Bannikova, A. G.
1 Borisova, O. B.
1 Burusheva, L. Sh.
1 Carioni, Marcello
1 Chakrabarty, Deeparnab
1 Cheng, Ya
1 Cherkashin, Danila D.
1 Chowdhury, Samir
1 Cieslik, Dietmar
1 Cotton, Andrew
1 Dahl, Jonathan
1 Devanur, Nikhil R.
1 Dong, Meihua
1 Ducret, Stephen
1 Erëmin, A. Yu.
1 Filin, A. M.
1 Freire, Alexandre
1 Galstyan, A. Kh.
1 Giménez, Domingo
1 Gnepp, Andrei
1 Gusev, N. S.
1 Huang, Binchao
1 Iliadis, Stavros D.
1 Il’yutko, Denis Petrovich
1 Kadyrov, Il’yas Rinatovich
1 Klibus, D. P.
1 Kopysov, Sergeĭ Petrovich
1 Lange, Christian
1 Laut, Il’ya L.
1 Lê Hông Vân
1 Levin, Mark Sh.
1 Li, Jianping
1 Lichen, Junran
1 Lipatov, S. Yu.
1 Liu, Zhichao
1 López-Espín, Jose J.
1 Mashiko, Yukihiro
1 Massaccesi, Annalisa
1 Mekhedov, I. S.
1 Mémoli, Facundo
1 Mese, Chikako
1 Mikhailov, I. A.
1 Miranda, Michele jun.
1 Mishchenko, V. A.
1 Morales, Carlos Arnoldo
1 Ng, Ting
1 Nikonov, Igor Mikhailovich
1 Novikov, Aleksandr Konstantinovich
1 Oblakov, K. I.
1 O’Reilly, Oliver Mary
1 Oudet, Edouard
1 Parsch, Fabian
1 Pluda, Alessandra
1 Sabitov, Idzhad Khakovich
1 Saeed, Tareq
1 Salnikov, Vsevolod
1 S”edina, O. A.
1 Shiohama, Katsuhiro
1 Sosov, Evgenii N.
1 Spivack, John H.
1 Teplitskaya, Yana
1 Tresierras, Timothy N.
1 Tropin, Alexander
1 Troyanov, Marc
1 Tsvetnikov, R. A.
1 Ulivi, Letizia
1 Vazirani, Vijay V.
1 Velichkov, Bozhidar
1 Vidal, Antonio Manuel
1 Volz, Marcus
1 Wan, Zhengchao
1 Wang, Yunchen
1 Yamada, Sumio
1 Ye, Yong
1 Yoder, Cara
1 Zachariasen, Martin
1 Zhitnaya, M. Yu.
all top 5

Cited in 47 Serials

17 Moscow University Mathematics Bulletin
16 Journal of Mathematical Sciences (New York)
7 Mathematical Notes
4 Sbornik: Mathematics
2 Advances in Mathematics
2 Networks
2 Transactions of the American Mathematical Society
2 Topology and its Applications
2 European Journal of Combinatorics
2 Algorithmica
2 Calculus of Variations and Partial Differential Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Lobachevskii Journal of Mathematics
1 Archive for Rational Mechanics and Analysis
1 Discrete Applied Mathematics
1 International Journal of Engineering Science
1 Physics Letters. B
1 Applied Mathematics and Optimization
1 Geometriae Dedicata
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Geometry
1 Journal of Geometry
1 Matematički Vesnik
1 Proceedings of the Japan Academy. Series A
1 Real Analysis Exchange
1 Rendiconti del Seminario Matematico della Università di Padova
1 Theoretical Computer Science
1 Transactions of the Moscow Mathematical Society
1 Acta Applicandae Mathematicae
1 Journal of Global Optimization
1 Automation and Remote Control
1 Mathematical Programming. Series A. Series B
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Russian Mathematics
1 Topology Proceedings
1 Fractals
1 International Transactions in Operational Research
1 Doklady Mathematics
1 Analysis (München)
1 Journal of High Energy Physics
1 Journal of the Australian Mathematical Society
1 Portugaliae Mathematica. Nova Série
1 Mediterranean Journal of Mathematics
1 Chebyshevskiĭ Sbornik
1 Proceedings of the Steklov Institute of Mathematics
1 Electronic Research Announcements in Mathematical Sciences
1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet

Citations by Year