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## Dol’nikov, Vladimir L.

Compute Distance To:
 Author ID: dolnikov.vladimir-l Published as: Dol’nikov, V.; Dol’nikov, V. L.; Dol’nikov, Vladimir L.
 Documents Indexed: 40 Publications since 1971

#### Co-Authors

 33 single-authored 2 Strelkov, Nikolay A. 1 Berlov, S. L. 1 Chelnokov, Grigory R. 1 Igonin, Sergeĭ Aleksandrovich 1 Karasev, Roman N.
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#### Serials

 4 Issledovaniya po Teorii Funktsiĭ Mnogikh Veshchestvennykh Peremennykh 3 Mathematical Notes 3 Siberian Mathematical Journal 2 Matematicheskie Zametki 2 Journal of Combinatorial Theory. Series A 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Soviet Mathematics. Doklady 1 Doklady Akademii Nauk SSSR 1 Ukrainian Mathematical Journal 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Discrete & Computational Geometry 1 Geometric and Functional Analysis. GAFA 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Fundamental’naya i Prikladnaya Matematika
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#### Fields

 24 Convex and discrete geometry (52-XX) 13 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 2 Geometry (51-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

17 Publications have been cited 66 times in 55 Documents Cited by Year
Some properties of graphs of diameters. Zbl 0965.05063
Dol’nikov, V. L.
2000
Transversals of families of sets in $$\mathbb{R}^ n$$ and a connection between the Helly and Borsuk theorems. Zbl 0818.52006
Dol’nikov, V. L.
1993
A generalization of the ham sandwich theorem. Zbl 0787.52003
Dol’nikov, V. L.
1992
A certain combinatorial inequality. Zbl 0675.05031
Dol’nikov, V. L.
1988
Dvoretzky type theorems for multivariate polynomials and sections of convex bodies. Zbl 1232.46043
Dol’nikov, Vladimir L.; Karasev, Roman N.
2011
Partitioning families of convex bodies. Zbl 0239.52001
Dol’nikov, V. L.
1971
Generalized transversals of families of sets in $${\mathbb{R}}^ n$$ and connections between the Helly and Borsuk theorems. Zbl 0661.52005
Dol’nikov, V. L.
1988
On some combinatorial inequality. Zbl 0658.05031
Dol’nikov, V. L.
1988
On the Jung constant in $$\ell ^ n_ 1$$. Zbl 0631.52010
Dol’nikov, V. L.
1987
On transversals of families of sets. Zbl 0488.52004
Dol’nikov, V. L.
1981
On transversals of quasialgebraic families of sets. Zbl 1295.05257
Chelnokov, G. R.; Dol’nikov, V. L.
2014
On a generalization of the ham sandwich theorem. Zbl 0768.52005
Dol’nikov, V. L.
1992
Some generalizations of theorems on vertex coloring. Zbl 1105.05022
Berlov, S. L.; Dol’nikov, V. L.
2006
Theorems of Helly–Gallai’s type. Zbl 0971.52009
Dol’nikov, V. L.; Igonin, S. A.
1999
A theorem of Helly type for sets defined by systems of equations. Zbl 0737.05076
Dol’nikov, V. L.
1989
Jung constant in $$\ell$$ $$n_ 1$$. Zbl 0653.52004
Dol’nikov, V. L.
1987
A coloring problem. Zbl 0263.05105
Dol’nikov, V. L.
1973
On transversals of quasialgebraic families of sets. Zbl 1295.05257
Chelnokov, G. R.; Dol’nikov, V. L.
2014
Dvoretzky type theorems for multivariate polynomials and sections of convex bodies. Zbl 1232.46043
Dol’nikov, Vladimir L.; Karasev, Roman N.
2011
Some generalizations of theorems on vertex coloring. Zbl 1105.05022
Berlov, S. L.; Dol’nikov, V. L.
2006
Some properties of graphs of diameters. Zbl 0965.05063
Dol’nikov, V. L.
2000
Theorems of Helly–Gallai’s type. Zbl 0971.52009
Dol’nikov, V. L.; Igonin, S. A.
1999
Transversals of families of sets in $$\mathbb{R}^ n$$ and a connection between the Helly and Borsuk theorems. Zbl 0818.52006
Dol’nikov, V. L.
1993
A generalization of the ham sandwich theorem. Zbl 0787.52003
Dol’nikov, V. L.
1992
On a generalization of the ham sandwich theorem. Zbl 0768.52005
Dol’nikov, V. L.
1992
A theorem of Helly type for sets defined by systems of equations. Zbl 0737.05076
Dol’nikov, V. L.
1989
A certain combinatorial inequality. Zbl 0675.05031
Dol’nikov, V. L.
1988
Generalized transversals of families of sets in $${\mathbb{R}}^ n$$ and connections between the Helly and Borsuk theorems. Zbl 0661.52005
Dol’nikov, V. L.
1988
On some combinatorial inequality. Zbl 0658.05031
Dol’nikov, V. L.
1988
On the Jung constant in $$\ell ^ n_ 1$$. Zbl 0631.52010
Dol’nikov, V. L.
1987
Jung constant in $$\ell$$ $$n_ 1$$. Zbl 0653.52004
Dol’nikov, V. L.
1987
On transversals of families of sets. Zbl 0488.52004
Dol’nikov, V. L.
1981
A coloring problem. Zbl 0263.05105
Dol’nikov, V. L.
1973
Partitioning families of convex bodies. Zbl 0239.52001
Dol’nikov, V. L.
1971
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#### Cited by 76 Authors

 6 Alishahi, Meysam 5 Hajiabolhassan, Hossein 5 Kupavskii, Andrey 4 Blagojević, Pavle V. M. 4 Karasev, Roman N. 4 Montejano Peimbert, Luis 3 Bárány, Imre 3 Polyanskiĭ, Aleksandr Andreevich 3 Shvartsman, Pavel 2 Alon, Noga M. 2 Bulankina, V. V. 2 Gromov, Mikhael Leonidovich 2 Makeev, Vladimir Vladimirovich 2 Matschke, Benjamin 2 Meunier, Frédéric 2 Ramírez Alfonsín, Jorge Luis 2 Soberón, Pablo 2 Taherkhani, Ali 1 Abyazi Sani, Roya 1 Alimov, Alexey R. 1 Amenta, Nina 1 Appell, Jürgen M. 1 Arocha, Jorge Luis 1 Berlov, S. L. 1 Blagojević, Aleksandra Dimitrijević 1 Boltyanskij, Vladimir Grigor’evich 1 Bracho, Javier 1 Brandenberg, René 1 Breuer, Felix 1 Bukh, Boris 1 Cañete, Antonio 1 Chappelon, Jonathan 1 Chelnokov, Grigory R. 1 Chen, Peng-An 1 De Loera, Jesús A. 1 de Mattos, Denise 1 Dol’nikov, Vladimir L. 1 Dos Santos, Edivaldo L. 1 Dujmović, Vida 1 Elton, John H. 1 Franchetti, Carlo 1 Frick, Florian 1 Haviv, Ishay 1 Hill, Theodore Preston 1 Huicochea, Mario 1 Hujter, Mihály 1 Ivanov, Valeriy Ivanovich 1 Jerónimo-Castro, Jesús 1 Jiang, Tao 1 Kalai, Gil 1 Kupitz, Yaakov S. 1 Langerman, Stefan 1 Lángi, Zsolt 1 Magazinov, Alexander Nikolaevich 1 Martinez-Sandoval, Leonardo 1 Martini, Horst 1 Marzantowicz, Wacław 1 Matoušek, Jiří 1 Merino, Bernardo González 1 Miller, Zevi 1 Montejano, Luis Pedro 1 Morić, Filip 1 Oliveros, Deborah 1 Pach, János 1 Perles, Micha A. 1 Pichugov, S. A. 1 Schnell, Uwe 1 Semënov, Evgeniĭ Mikhaĭlovich 1 Simonyi, Gábor 1 Swanepoel, Konrad J. 1 Szűcs, András 1 Tardos, Gábor 1 Tsar’kov, Igor’ Germanovich 1 Tyschuk, K. I. 1 Yager, Derrek 1 Ziegler, Günter Matthias
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#### Cited in 23 Serials

 8 Discrete & Computational Geometry 7 Journal of Combinatorial Theory. Series A 5 Advances in Mathematics 4 European Journal of Combinatorics 3 Discrete Mathematics 3 Israel Journal of Mathematics 2 Mathematical Notes 2 Russian Mathematical Surveys 2 Proceedings of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 St. Petersburg Mathematical Journal 2 Ars Mathematica Contemporanea 1 Discrete Applied Mathematics 1 Bulletin of the London Mathematical Society 1 Journal of Combinatorial Theory. Series B 1 Journal of Soviet Mathematics 1 Results in Mathematics 1 Combinatorica 1 Acta Mathematica Hungarica 1 Computational Geometry 1 Journal of Mathematical Sciences (New York) 1 Doklady Mathematics 1 Journal of Fixed Point Theory and Applications
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#### Cited in 16 Fields

 28 Combinatorics (05-XX) 23 Convex and discrete geometry (52-XX) 7 Functional analysis (46-XX) 4 Algebraic topology (55-XX) 3 Computer science (68-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX)