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Brimkov, Valentin E.

Co-Author Distance
Author ID:brimkov.valentin-e Recent zbMATH articles by "Brimkov, Valentin E."
Published as:Brimkov, Valentin E.;Brimkov, V. E.;Brimkov, Valentin;Brimkov, V.
Documents Indexed:61 Publications since 1987, including1 Additional arXiv Preprint
19 Contributions as Editor
Co-Authors:44 Co-Authors with 65 Joint Publications
988 Co-Co-Authors
alltop 5

Co-Authors

15single-authored
39 Barneva, Reneta P.
6 Dantchev, Stefan Stoyanov
5 Brimkov, Boris
3 Klette, Reinhard
3 Leach, Andrew J.
3 Leoncini, Mauro
3 Mastroianni, Michael
3 Nordo, Giorgio
3 Tavares, João Manuel R. S.
3 Wu, Jimmy Ming-Tai
2 Aggarwal, Jake K.
2 Andres, Eric
2 Apostolico, Alberto
2 Bhowmick, Partha
2 Biswas, Ranita
2 Codenotti, Bruno
2 Hauptman, Herbert A.
2 Kafer, Sean
2 Maimone, Angelo
2 Milanov, P. B.
2 Natal Jorge, Renato Manuel
2 Szczepankiewicz, Matthew
2 Terhaar, Joshua
1 Asano, Tetsuo
1 Bhattacharya, Bhargab Bikram
1 Coeurjolly, David
1 Čomić, Lidija
1 Crespi, Valentino
1 Ivanov, O. Ch.
1 Junosza-Szaniawski, Konstanty
1 Kanev, Kamen K.
1 Koroutchev, Kostadin N.
1 Korutcheva, Elka R.
1 Kratochvíl, Jan
1 Lukić, Tibor
1 Moroni, Davide
1 Nehlig, Philippe
1 Pacchiano, Aldo
1 Pergel, Martin
1 Resta, Giovanni
1 Rzążewski, Paweł
1 Sladoje, Nataša
1 Šlapal, Josef
1 Straight, Joseph

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 241 times in126 DocumentsCited by ▼Year ▼
Digital planarity – a review. Zbl 1109.68122
Brimkov, Valentin;Coeurjolly, David;Klette, Reinhard
2007
Plane digitization and related combinatorial problems. Zbl 1068.68111
Brimkov, Valentin E.;Barneva, Reneta P.
2005
Graceful planes and lines. Zbl 1050.68147
Brimkov, Valentin E.;Barneva, Reneta P.
2002
Connectivity of discrete planes. Zbl 1068.52018
Brimkov, Valentin E.;Barneva, Reneta P.
2004
Fibonacci arrays and their two-dimensional repetitions. Zbl 0939.68162
Apostolico, A.;Brimkov, V. E.
2000
Formulas for the number of \((n-2)\)-gaps of binary objects in arbitrary dimension. Zbl 1168.68048
Brimkov, Valentin E.
2009
Object discretizations in higher dimensions. Zbl 1006.68117
Brimkov, Valentin E.;Andres, Eric;Barneva, Reneta P.
2002
Thin discrete triangular meshes. Zbl 0961.68139
Barneva, Reneta P.;Brimkov, Valentin E.;Nehlig, Philippe
2000
Guarding a set of line segments in the plane. Zbl 1207.68414
Brimkov, Valentin E.;Leach, Andrew;Mastroianni, Michael;Wu, Jimmy
2011
On the polyhedral complexity of the integer points in a hyperball. Zbl 1151.52010
Brimkov, Valentin E.;Barneva, Reneta P.
2008
Counting gaps in binary pictures. Zbl 1527.68244
Brimkov, Valentin E.;Maimone, Angelo;Nordo, Giorgio
2006
Curves, hypersurfaces, and good pairs of adjacency relations. Zbl 1113.68571
Brimkov, Valentin E.;Klette, Reinhard
2004
Optimal discovery of repetitions in 2D. Zbl 1101.68501
Apostolico, Alberto;Brimkov, Valentin E.
2005
Approximation algorithms for a geometric set cover problem. Zbl 1253.68358
Brimkov, Valentin E.;Leach, Andrew;Wu, Jimmy;Mastroianni, Michael
2012
On the Lovász number of certain circulant graphs. Zbl 0955.05097
Brimkov, Valentin E.;Codenotti, Bruno;Crespi, Valentino;Leoncini, Mauro
2000
Some theoretical challenges in digital geometry: a perspective. Zbl 1186.68487
Asano, Tetsuo;Brimkov, Valentin E.;Barneva, Reneta P.
2009
Genus and dimension of digital images and their time- and space-efficient computation. Zbl 1185.68800
Brimkov, Valentin E.;Nordo, Giorgio;Barneva, Reneta P.;Maimone, Angelo
2008
Real data-integer solution problems within the Blum-Shub-Smale computational model. Zbl 0880.68035
Brimkov, Valentin E.;Danchev, Stefan S.
1997
Combinatorial relations for digital pictures. Zbl 1136.68554
Brimkov, Valentin E.;Moroni, Davide;Barneva, Reneta
2006
Algorithmic and explicit determination of the Lovász number for certain circulant graphs. Zbl 1123.05085
Brimkov, Valentin
2007
Computational modeling of objects represented in images. Second international symposium, CompIMAGE 2010, Buffalo, NY, USA, May 5–7, 2010. Proceedings. Zbl 1204.68002
2010
Approximability issues of guarding a set of segments. Zbl 1279.90141
Brimkov, Valentin E.
2013
Experimental study on approximation algorithms for guarding sets of line segments. Zbl 1279.90142
Brimkov, Valentin E.;Leach, Andrew;Mastroianni, Michael;Wu, Jimmy
2010
Graceful planes and thin tunnel-free meshes. Zbl 0933.68139
Brimkov, Valentin E.;Barneva, Reneta P.
1999
Digitization scheme that assures faithful reconstruction of plane figures. Zbl 1182.68330
Brimkov, Valentin E.
2009
“Honeycomb” vs square and cubic models. Zbl 1260.68407
Brimkov, Valentin E.;Barneva, Reneta P.
2001
On the connectivity and smoothness of discrete spherical circles. Zbl 1486.68205
Biswas, Ranita;Bhowmick, Partha;Brimkov, Valentin E.
2015
On the complexity of integer programming in the Blum-Shub-Smale computational model. Zbl 1010.90100
Brimkov, Valentin E.;Dantchev, Stefan S.
2000
Gradient elements of the knapsack polytope. Zbl 1161.68488
Brimkov, V. E.;Barneva, R. P.
2001
Clique, chromatic, and Lovász numbers of certain circulant graphs. Zbl 1152.05352
Brimkov, Valentin E.
2004
On the polyhedra of graceful spheres and circular geodesics. Zbl 1370.68295
Biswas, Ranita;Bhowmick, Partha;Brimkov, Valentin E.
2017
Object discretization in higher dimensions. Zbl 1043.68788
Brimkov, Valentin E.;Andres, Eric;Barneva, Reneta P.
2000
Combinatorial image analysis. 12th international workshop, IWCIA 2008, Buffalo, NY, USA, April 7–9, 2008. Proceedings. Zbl 1177.68006
2008
Minimal offsets that guarantee maximal or minimal connectivity of digital curves in \(n\mathrm{D}\). Zbl 1261.68121
Brimkov, Valentin E.;Barneva, Reneta P.;Brimkov, Boris
2009
Digital flatness. Zbl 1254.68296
Brimkov, Valentin E.;Barneva, Reneta P.
2003
Complexity analysis for digital hyperplane recognition in arbitrary fixed dimension. Zbl 1118.68720
Brimkov, Valentin E.;Dantchev, Stefan S.
2005
An alternative to Ben-Or’s lower bound for the knapsack problem complexity. Zbl 1002.68064
Brimkov, V. E.;Dantchev, S. S.
2002
On the knapsack problem. Zbl 0619.90048
Milanov, P. B.;Brimkov, V. E.
1987
Efficient computation of the Lovász theta function for a class of circulant graphs. Zbl 1112.94311
Brimkov, Valentin E.;Barneva, Reneta P.;Klette, Reinhard;Straight, Joseph
2004
Homothetic polygons and beyond: maximal cliques in intersection graphs. Zbl 1394.05106
Brimkov, Valentin E.;Junosza-Szaniawski, Konstanty;Kafer, Sean;Kratochvíl, Jan;Pergel, Martin;Rzążewski, Paweł;Szczepankiewicz, Matthew;Terhaar, Joshua
2018
Strong NP-completeness of a matrix similarity problem. Zbl 0872.68046
Brimkov, V.;Codenotti, B.;Leoncini, M.;Resta, G.
1996
Optimal parallel searching an array for certain repetitions. Zbl 1138.68662
Brimkov, Valentin E.
2003
Connectedness of offset digitizations in higher dimensions. Zbl 1272.68406
Brimkov, Valentin E.
2010
On intersection graphs of convex polygons. Zbl 1487.68242
Brimkov, Valentin E.;Kafer, Sean;Szczepankiewicz, Matthew;Terhaar, Joshua
2014
Tight complexity bounds for the two-dimensional real knapsack problem. Zbl 0947.65065
Brimkov, Valentin E.;Dantchev, Stefan S.;Leoncini, Mauro
1999
Special issue: Advances in combinatorial image analysis. Extended selected papers based on the presentations at the 12th international workshop on combinatorial image analysis (IWCIA 2008), Buffalo, NY, USA, April 2008. Zbl 1194.68015
2009
On the convex hull of the integer points in a bi-circular region. Zbl 1267.68260
Brimkov, Valentin E.
2009
On connectedness of discretized sets. Zbl 1483.52017
Brimkov, Boris;Brimkov, Valentin E.
2020
On connectedness of discretized sets. Zbl 1483.52017
Brimkov, Boris;Brimkov, Valentin E.
2020
Homothetic polygons and beyond: maximal cliques in intersection graphs. Zbl 1394.05106
Brimkov, Valentin E.;Junosza-Szaniawski, Konstanty;Kafer, Sean;Kratochvíl, Jan;Pergel, Martin;Rzążewski, Paweł;Szczepankiewicz, Matthew;Terhaar, Joshua
2018
On the polyhedra of graceful spheres and circular geodesics. Zbl 1370.68295
Biswas, Ranita;Bhowmick, Partha;Brimkov, Valentin E.
2017
On the connectivity and smoothness of discrete spherical circles. Zbl 1486.68205
Biswas, Ranita;Bhowmick, Partha;Brimkov, Valentin E.
2015
On intersection graphs of convex polygons. Zbl 1487.68242
Brimkov, Valentin E.;Kafer, Sean;Szczepankiewicz, Matthew;Terhaar, Joshua
2014
Approximability issues of guarding a set of segments. Zbl 1279.90141
Brimkov, Valentin E.
2013
Approximation algorithms for a geometric set cover problem. Zbl 1253.68358
Brimkov, Valentin E.;Leach, Andrew;Wu, Jimmy;Mastroianni, Michael
2012
Guarding a set of line segments in the plane. Zbl 1207.68414
Brimkov, Valentin E.;Leach, Andrew;Mastroianni, Michael;Wu, Jimmy
2011
Computational modeling of objects represented in images. Second international symposium, CompIMAGE 2010, Buffalo, NY, USA, May 5–7, 2010. Proceedings. Zbl 1204.68002
2010
Experimental study on approximation algorithms for guarding sets of line segments. Zbl 1279.90142
Brimkov, Valentin E.;Leach, Andrew;Mastroianni, Michael;Wu, Jimmy
2010
Connectedness of offset digitizations in higher dimensions. Zbl 1272.68406
Brimkov, Valentin E.
2010
Formulas for the number of \((n-2)\)-gaps of binary objects in arbitrary dimension. Zbl 1168.68048
Brimkov, Valentin E.
2009
Some theoretical challenges in digital geometry: a perspective. Zbl 1186.68487
Asano, Tetsuo;Brimkov, Valentin E.;Barneva, Reneta P.
2009
Digitization scheme that assures faithful reconstruction of plane figures. Zbl 1182.68330
Brimkov, Valentin E.
2009
Minimal offsets that guarantee maximal or minimal connectivity of digital curves in \(n\mathrm{D}\). Zbl 1261.68121
Brimkov, Valentin E.;Barneva, Reneta P.;Brimkov, Boris
2009
Special issue: Advances in combinatorial image analysis. Extended selected papers based on the presentations at the 12th international workshop on combinatorial image analysis (IWCIA 2008), Buffalo, NY, USA, April 2008. Zbl 1194.68015
2009
On the convex hull of the integer points in a bi-circular region. Zbl 1267.68260
Brimkov, Valentin E.
2009
On the polyhedral complexity of the integer points in a hyperball. Zbl 1151.52010
Brimkov, Valentin E.;Barneva, Reneta P.
2008
Genus and dimension of digital images and their time- and space-efficient computation. Zbl 1185.68800
Brimkov, Valentin E.;Nordo, Giorgio;Barneva, Reneta P.;Maimone, Angelo
2008
Combinatorial image analysis. 12th international workshop, IWCIA 2008, Buffalo, NY, USA, April 7–9, 2008. Proceedings. Zbl 1177.68006
2008
Digital planarity – a review. Zbl 1109.68122
Brimkov, Valentin;Coeurjolly, David;Klette, Reinhard
2007
Algorithmic and explicit determination of the Lovász number for certain circulant graphs. Zbl 1123.05085
Brimkov, Valentin
2007
Counting gaps in binary pictures. Zbl 1527.68244
Brimkov, Valentin E.;Maimone, Angelo;Nordo, Giorgio
2006
Combinatorial relations for digital pictures. Zbl 1136.68554
Brimkov, Valentin E.;Moroni, Davide;Barneva, Reneta
2006
Plane digitization and related combinatorial problems. Zbl 1068.68111
Brimkov, Valentin E.;Barneva, Reneta P.
2005
Optimal discovery of repetitions in 2D. Zbl 1101.68501
Apostolico, Alberto;Brimkov, Valentin E.
2005
Complexity analysis for digital hyperplane recognition in arbitrary fixed dimension. Zbl 1118.68720
Brimkov, Valentin E.;Dantchev, Stefan S.
2005
Connectivity of discrete planes. Zbl 1068.52018
Brimkov, Valentin E.;Barneva, Reneta P.
2004
Curves, hypersurfaces, and good pairs of adjacency relations. Zbl 1113.68571
Brimkov, Valentin E.;Klette, Reinhard
2004
Clique, chromatic, and Lovász numbers of certain circulant graphs. Zbl 1152.05352
Brimkov, Valentin E.
2004
Efficient computation of the Lovász theta function for a class of circulant graphs. Zbl 1112.94311
Brimkov, Valentin E.;Barneva, Reneta P.;Klette, Reinhard;Straight, Joseph
2004
Digital flatness. Zbl 1254.68296
Brimkov, Valentin E.;Barneva, Reneta P.
2003
Optimal parallel searching an array for certain repetitions. Zbl 1138.68662
Brimkov, Valentin E.
2003
Graceful planes and lines. Zbl 1050.68147
Brimkov, Valentin E.;Barneva, Reneta P.
2002
Object discretizations in higher dimensions. Zbl 1006.68117
Brimkov, Valentin E.;Andres, Eric;Barneva, Reneta P.
2002
An alternative to Ben-Or’s lower bound for the knapsack problem complexity. Zbl 1002.68064
Brimkov, V. E.;Dantchev, S. S.
2002
“Honeycomb” vs square and cubic models. Zbl 1260.68407
Brimkov, Valentin E.;Barneva, Reneta P.
2001
Gradient elements of the knapsack polytope. Zbl 1161.68488
Brimkov, V. E.;Barneva, R. P.
2001
Fibonacci arrays and their two-dimensional repetitions. Zbl 0939.68162
Apostolico, A.;Brimkov, V. E.
2000
Thin discrete triangular meshes. Zbl 0961.68139
Barneva, Reneta P.;Brimkov, Valentin E.;Nehlig, Philippe
2000
On the Lovász number of certain circulant graphs. Zbl 0955.05097
Brimkov, Valentin E.;Codenotti, Bruno;Crespi, Valentino;Leoncini, Mauro
2000
On the complexity of integer programming in the Blum-Shub-Smale computational model. Zbl 1010.90100
Brimkov, Valentin E.;Dantchev, Stefan S.
2000
Object discretization in higher dimensions. Zbl 1043.68788
Brimkov, Valentin E.;Andres, Eric;Barneva, Reneta P.
2000
Graceful planes and thin tunnel-free meshes. Zbl 0933.68139
Brimkov, Valentin E.;Barneva, Reneta P.
1999
Tight complexity bounds for the two-dimensional real knapsack problem. Zbl 0947.65065
Brimkov, Valentin E.;Dantchev, Stefan S.;Leoncini, Mauro
1999
Real data-integer solution problems within the Blum-Shub-Smale computational model. Zbl 0880.68035
Brimkov, Valentin E.;Danchev, Stefan S.
1997
Strong NP-completeness of a matrix similarity problem. Zbl 0872.68046
Brimkov, V.;Codenotti, B.;Leoncini, M.;Resta, G.
1996
On the knapsack problem. Zbl 0619.90048
Milanov, P. B.;Brimkov, V. E.
1987
alltop 5

Cited by 194 Authors

23 Brimkov, Valentin E.
13 Bhowmick, Partha
8 Barneva, Reneta P.
7 Lachaud, Jacques-Olivier
5 Biswas, Ranita
5 Coeurjolly, David
5 Gérard, Yan
5 Roussillon, Tristan
5 Sokol, Dina
4 Amir, Amihood
4 Čomić, Lidija
4 Feschet, Fabien
4 Han, Sang-Eon
4 Landau, Gad M.
4 Marcus, Shoshana
4 Żyliński, Paweł
3 Berthé, Valérie
3 Bhattacharya, Bhargab Bikram
3 Domenjoud, Eric
3 Dumitrescu, Adrian
3 Jamet, Damien
3 Leach, Andrew J.
3 Mahalingam, Kalpana
3 Mastroianni, Michael
3 Mitchell, Joseph S. B.
3 Nagar, Atulya K.
3 Nagy, Benedek
3 Nordo, Giorgio
3 Provençal, Xavier
3 Subramanian, Kumbakonam Govindarajan
3 Wu, Jimmy Ming-Tai
2 Abdullah, Rosni
2 Apostolico, Alberto
2 Barczi, Krisztina
2 Bhunre, Piyush Kanti
2 Biswas, Arindam
2 Brimkov, Boris
2 Butman, Ayelet
2 Fernique, Thomas
2 Laboureix, Bastien
2 Magillo, Paola
2 Maimone, Angelo
2 Pal, Shyamosree
2 Rzążewski, Paweł
2 Sekiya, Fumiki
2 Sugimoto, Akihiro
2 Tajine, Mohamed
2 Toutant, Jean-Luc
2 Vuillon, Laurent
1 Aliev, Iskander M.
1 Allouche, Jean-Paul Simon
1 Andres, Eric
1 Arnoux, Pierre
1 Arulprakasam, R.
1 Asano, Tetsuo
1 Bachoc, Christine
1 Balázs, Péter
1 Bera, Sahadev
1 Bera, Somnath
1 Bhalla, Gurman
1 Birbil, Ş. İker
1 Bonnet, Edouard
1 Broussard, Jordan
1 Calders, Toon
1 Carmi, Paz
1 Carraher, James M.
1 Charalampopoulos, Panagiotis
1 Chen, Xiangyong
1 Ciria, Jose C.
1 Codenotti, Bruno
1 Crombez, Loïc
1 Cyr, Van
1 da Fonseca, Guilherme Dias
1 Damiand, Guillaume
1 Dantchev, Stefan Stoyanov
1 Dare, Vincent Rajkumar
1 Daurat, Alain
1 de Biasi, Sergio C.
1 Debled-Rennesson, Isabelle
1 Dereniowski, Dariusz
1 Dexet, Martine
1 Domínguez, Eladio
1 Dražić, Slobodan
1 Dupas, Alexandre
1 Ege, Ozgur
1 Fekete, Sándor P.
1 Francés, Angel R.
1 Gawrychowski, Paweł
1 Geneson, Jesse T.
1 Ghazawi, Samah
1 Giannopoulos, Panos
1 Girlich, Eberhard
1 Gürbüz, Özgür
1 Hartke, Stephen G.
1 Hu, Xiaobo Sharon
1 Huang, Kan
1 Huang, Sangxia
1 Imiya, Atsushi
1 Jensen, Alathea
1 Jiang, Minghui
...and 94 more Authors
alltop 5

Cited in 41 Serials

17 Theoretical Computer Science
14 Discrete Applied Mathematics
13 Journal of Mathematical Imaging and Vision
4 International Journal of Computer Mathematics
3 Pattern Recognition
3 Journal of Combinatorial Optimization
2 Information Sciences
2 Journal of Computer and System Sciences
2 Algorithmica
2 Applied Mathematics Letters
2 Computational Geometry
2 Annals of Mathematics and Artificial Intelligence
2 Mathematical Morphology. Theory and Applications
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Discrete Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 OR Spektrum
1 Combinatorica
1 Discrete & Computational Geometry
1 International Journal of Approximate Reasoning
1 International Journal of Foundations of Computer Science
1 Expositiones Mathematicae
1 SIAM Journal on Optimization
1 Computational Complexity
1 Filomat
1 Mathematical Problems in Engineering
1 International Journal of Shape Modeling
1 Theory of Computing Systems
1 Data Mining and Knowledge Discovery
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Lobachevskii Journal of Mathematics
1 Hacettepe Journal of Mathematics and Statistics
1 Journal of Industrial and Management Optimization
1 Discrete Mathematics, Algorithms and Applications
1 Moscow Journal of Combinatorics and Number Theory
1 Journal of Mathematics
1 Open Mathematics

Citations by Year

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