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Swanepoel, Konrad J.

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Author ID: swanepoel.konrad-j Recent zbMATH articles by "Swanepoel, Konrad J."
Published as: Swanepoel, K. J.; Swanepoel, Konrad; Swanepoel, Konrad J.
External Links: MGP
Documents Indexed: 72 Publications since 1996
Reviewing Activity: 68 Reviews

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 416 times in 271 Documents Cited by Year
The geometry of Minkowski spaces – a survey. I. Zbl 0984.52004
Martini, Horst; Swanepoel, Konrad J.; Weiß, Gunter
92
2001
The geometry of Minkowski spaces – a survey. II. Zbl 1080.52005
Martini, H.; Swanepoel, K. J.
72
2004
Antinorms and Radon curves. Zbl 1108.52005
Martini, Horst; Swanepoel, Konrad J.
38
2006
Largest family without \(A \cup B \subseteq C \cap D\). Zbl 1070.05077
De Bonis, Annalisa; Katona, Gyula O. H.; Swanepoel, Konrad J.
29
2005
The Fermat–Torricelli problem in normed planes and spaces. Zbl 1047.90032
Martini, H.; Swanepoel, K. J.; Weiss, G.
26
2002
Equilateral sets in finite-dimensional normed spaces. Zbl 1071.52008
Swanepoel, Konrad J.
12
2004
Unit distances and diameters in Euclidean spaces. Zbl 1162.52010
Swanepoel, Konrad J.
11
2009
The local Steiner problem in normed planes. Zbl 0971.90075
Swanepoel, Konrad J.
9
2000
A lower bound for the equilateral number of normed spaces. Zbl 1142.46006
Swanepoel, Konrad J.; Villa, Rafael
8
2008
Sylvester-Gallai theorems for complex numbers and quaternions. Zbl 1091.51501
Elkies, Noam; Pretorius, Lou M.; Swanepoel, Konrad J.
7
2006
Equiframed curves – a generalization of Radon curves. Zbl 1071.52002
Martini, Horst; Swanepoel, Konrad J.
6
2004
Non-planar simplices are not reduced. Zbl 1048.52002
Martini, H.; Swanepoel, K. J.
6
2004
Generalized convexity notions and combinatorial geometry. Zbl 1051.52004
Martini, H.; Swanepoel, K. J.
6
2003
A new proof of Vázsonyi’s conjecture. Zbl 1226.05184
Swanepoel, Konrad J.
5
2008
Triangles of extremal area or perimeter in a finite planar point set. Zbl 0982.52014
Braß, P.; Rote, G.; Swanepoel, K. J.
5
2001
Balancing unit vectors. Zbl 0958.52007
Swanepoel, Konrad J.
5
2000
On sets defining few ordinary circles. Zbl 1384.52023
Lin, Aaron; Makhul, Mehdi; Mojarrad, Hossein Nassajian; Schicho, Josef; Swanepoel, Konrad; de Zeeuw, Frank
4
2018
Arrangements of homothets of a convex body. Zbl 1379.52003
Naszódi, Márton; Pach, János; Swanepoel, Konrad
4
2017
The local Steiner problem in finite-dimensional normed spaces. Zbl 1120.05022
Swanepoel, Konrad J.
4
2007
Low-degree minimal spanning trees in normed spaces. Zbl 1105.46010
Martini, Horst; Swanepoel, Konrad J.
4
2006
Cardinalities of \(k\)-distance sets in Minkowski spaces. Zbl 0939.52007
Swanepoel, K. J.
4
1999
Generalised \(k\)-Steiner tree problems in normed planes. Zbl 1307.68083
Brazil, Marcus; Ras, Charl J.; Swanepoel, Konrad J.; Thomas, Doreen A.
3
2015
Maximal equilateral sets. Zbl 1287.46011
Swanepoel, Konrad J.; Villa, Rafael
3
2013
Large convexly independent subsets of Minkowski sums. Zbl 1205.52011
Swanepoel, Konrad J.; Valtr, Pavel
3
2010
The Sylvester-Gallai theorem, colourings and algebra. Zbl 1177.05023
Pretorius, Lou M.; Swanepoel, Konrad J.
3
2009
Three-dimensional antipodal and norm-equilateral sets. Zbl 1126.52019
Schürmann, Achill; Swanepoel, Konrad J.
3
2006
Quantitative illumination of convex bodies and vertex degrees of geometric Steiner minimal trees. Zbl 1105.52005
Swanepoel, Konrad J.
3
2005
A problem of Kusner on equilateral sets. Zbl 1062.52017
Swanepoel, Konrad J.
3
2004
Helly-type theorems for homothets of planar convex curves. Zbl 1021.52006
Swanepoel, Konrad J.
3
2003
Vertex degrees of Steiner minimal trees in \(\ell_p^d\) and other smooth Minkowski spaces. Zbl 0921.05026
Swanepoel, K. J.
3
1999
Combinatorial distance geometry in normed spaces. Zbl 1419.52018
Swanepoel, Konrad J.
2
2018
Double-normal pairs in space. Zbl 1311.52016
Pach, János; Swanepoel, Konrad J.
2
2015
Simultaneous packing and covering in sequence spaces. Zbl 1172.52013
Swanepoel, Konrad J.
2
2009
Elementary incidence theorems for complex numbers and quaternions. Zbl 1170.51001
Solymosi, József; Swanepoel, Konrad J.
2
2008
Upper bounds for edge-anitpodal and subequilateral polytopes. Zbl 1127.52013
Swanepoel, Konrad J.
2
2007
The unit distance problem on spheres. Zbl 1065.52013
Swanepoel, Konrad J.; Valtr, Pavel
2
2004
Independence numbers of planar contact graphs. Zbl 1008.05111
Swanepoel, Konrad J.
2
2002
Gaps in convex disc packings with an application to 1-Steiner minimum trees. Zbl 0957.52001
Swanepoel, Konrad J.
2
2000
Helly-type theorems for hollow axis-aligned boxes. Zbl 0927.52012
Swanepoel, Konrad J.
2
1999
On sets defining few ordinary hyperplanes. Zbl 1450.52013
Lin, Aaron; Swanepoel, Konrad
1
2020
Bounding the size of an almost-equidistant set in Euclidean space. Zbl 1435.52008
Kupavskii, Andrey; Mustafa, Nabil H.; Swanepoel, Konrad J.
1
2019
Arrangements of homothets of a convex body. II. Zbl 1410.52014
Naszodi, Marton; Swanepoel, Konrad
1
2018
Embedding graphs in Euclidean space. Zbl 1378.05138
Frankl, Nóra; Kupavskii, Andrey; Swanepoel, Konrad J.
1
2017
Double-normal pairs in the plane and on the sphere. Zbl 1328.51007
Pach, János; Swanepoel, Konrad J.
1
2015
Geometry where direction matters – or does it? Zbl 1233.52005
Martini, Horst; Spirova, Margarita; Swanepoel, Konrad J.
1
2011
Embedding a Latin square with transversal into a projective space. Zbl 1226.05066
Pretorius, Lou M.; Swanepoel, Konrad J.
1
2011
Blocking sets in small finite linear spaces. Zbl 1224.05076
Pretorius, Lou M.; Swanepoel, Konrad J.
1
2006
An algorithmic proof of the Motzkin-Rabin theorem on monochrome lines. Zbl 1059.05028
Pretorius, Lou M.; Swanepoel, Konrad J.
1
2004
Helly-type theorems for polygonal curves. Zbl 1002.68187
Swanepoel, Konrad J.
1
2002
Sets of unit vectors with small pairwise sums. Zbl 0992.46011
Swanepoel, Konrad J.
1
2000
On the existence of shortest directed networks. Zbl 0960.05053
Swanepoel, Konrad J.
1
2000
New lower bounds for the Hadwiger numbers of \(\ell_p\) balls for \(p<2\). Zbl 1022.94026
Swanepoel, K. J.
1
1999
Extremal problems in Minkowski space related to minimal networks. Zbl 0874.94055
Swanepoel, K. J.
1
1996
On sets defining few ordinary hyperplanes. Zbl 1450.52013
Lin, Aaron; Swanepoel, Konrad
1
2020
Bounding the size of an almost-equidistant set in Euclidean space. Zbl 1435.52008
Kupavskii, Andrey; Mustafa, Nabil H.; Swanepoel, Konrad J.
1
2019
On sets defining few ordinary circles. Zbl 1384.52023
Lin, Aaron; Makhul, Mehdi; Mojarrad, Hossein Nassajian; Schicho, Josef; Swanepoel, Konrad; de Zeeuw, Frank
4
2018
Combinatorial distance geometry in normed spaces. Zbl 1419.52018
Swanepoel, Konrad J.
2
2018
Arrangements of homothets of a convex body. II. Zbl 1410.52014
Naszodi, Marton; Swanepoel, Konrad
1
2018
Arrangements of homothets of a convex body. Zbl 1379.52003
Naszódi, Márton; Pach, János; Swanepoel, Konrad
4
2017
Embedding graphs in Euclidean space. Zbl 1378.05138
Frankl, Nóra; Kupavskii, Andrey; Swanepoel, Konrad J.
1
2017
Generalised \(k\)-Steiner tree problems in normed planes. Zbl 1307.68083
Brazil, Marcus; Ras, Charl J.; Swanepoel, Konrad J.; Thomas, Doreen A.
3
2015
Double-normal pairs in space. Zbl 1311.52016
Pach, János; Swanepoel, Konrad J.
2
2015
Double-normal pairs in the plane and on the sphere. Zbl 1328.51007
Pach, János; Swanepoel, Konrad J.
1
2015
Maximal equilateral sets. Zbl 1287.46011
Swanepoel, Konrad J.; Villa, Rafael
3
2013
Geometry where direction matters – or does it? Zbl 1233.52005
Martini, Horst; Spirova, Margarita; Swanepoel, Konrad J.
1
2011
Embedding a Latin square with transversal into a projective space. Zbl 1226.05066
Pretorius, Lou M.; Swanepoel, Konrad J.
1
2011
Large convexly independent subsets of Minkowski sums. Zbl 1205.52011
Swanepoel, Konrad J.; Valtr, Pavel
3
2010
Unit distances and diameters in Euclidean spaces. Zbl 1162.52010
Swanepoel, Konrad J.
11
2009
The Sylvester-Gallai theorem, colourings and algebra. Zbl 1177.05023
Pretorius, Lou M.; Swanepoel, Konrad J.
3
2009
Simultaneous packing and covering in sequence spaces. Zbl 1172.52013
Swanepoel, Konrad J.
2
2009
A lower bound for the equilateral number of normed spaces. Zbl 1142.46006
Swanepoel, Konrad J.; Villa, Rafael
8
2008
A new proof of Vázsonyi’s conjecture. Zbl 1226.05184
Swanepoel, Konrad J.
5
2008
Elementary incidence theorems for complex numbers and quaternions. Zbl 1170.51001
Solymosi, József; Swanepoel, Konrad J.
2
2008
The local Steiner problem in finite-dimensional normed spaces. Zbl 1120.05022
Swanepoel, Konrad J.
4
2007
Upper bounds for edge-anitpodal and subequilateral polytopes. Zbl 1127.52013
Swanepoel, Konrad J.
2
2007
Antinorms and Radon curves. Zbl 1108.52005
Martini, Horst; Swanepoel, Konrad J.
38
2006
Sylvester-Gallai theorems for complex numbers and quaternions. Zbl 1091.51501
Elkies, Noam; Pretorius, Lou M.; Swanepoel, Konrad J.
7
2006
Low-degree minimal spanning trees in normed spaces. Zbl 1105.46010
Martini, Horst; Swanepoel, Konrad J.
4
2006
Three-dimensional antipodal and norm-equilateral sets. Zbl 1126.52019
Schürmann, Achill; Swanepoel, Konrad J.
3
2006
Blocking sets in small finite linear spaces. Zbl 1224.05076
Pretorius, Lou M.; Swanepoel, Konrad J.
1
2006
Largest family without \(A \cup B \subseteq C \cap D\). Zbl 1070.05077
De Bonis, Annalisa; Katona, Gyula O. H.; Swanepoel, Konrad J.
29
2005
Quantitative illumination of convex bodies and vertex degrees of geometric Steiner minimal trees. Zbl 1105.52005
Swanepoel, Konrad J.
3
2005
The geometry of Minkowski spaces – a survey. II. Zbl 1080.52005
Martini, H.; Swanepoel, K. J.
72
2004
Equilateral sets in finite-dimensional normed spaces. Zbl 1071.52008
Swanepoel, Konrad J.
12
2004
Equiframed curves – a generalization of Radon curves. Zbl 1071.52002
Martini, Horst; Swanepoel, Konrad J.
6
2004
Non-planar simplices are not reduced. Zbl 1048.52002
Martini, H.; Swanepoel, K. J.
6
2004
A problem of Kusner on equilateral sets. Zbl 1062.52017
Swanepoel, Konrad J.
3
2004
The unit distance problem on spheres. Zbl 1065.52013
Swanepoel, Konrad J.; Valtr, Pavel
2
2004
An algorithmic proof of the Motzkin-Rabin theorem on monochrome lines. Zbl 1059.05028
Pretorius, Lou M.; Swanepoel, Konrad J.
1
2004
Generalized convexity notions and combinatorial geometry. Zbl 1051.52004
Martini, H.; Swanepoel, K. J.
6
2003
Helly-type theorems for homothets of planar convex curves. Zbl 1021.52006
Swanepoel, Konrad J.
3
2003
The Fermat–Torricelli problem in normed planes and spaces. Zbl 1047.90032
Martini, H.; Swanepoel, K. J.; Weiss, G.
26
2002
Independence numbers of planar contact graphs. Zbl 1008.05111
Swanepoel, Konrad J.
2
2002
Helly-type theorems for polygonal curves. Zbl 1002.68187
Swanepoel, Konrad J.
1
2002
The geometry of Minkowski spaces – a survey. I. Zbl 0984.52004
Martini, Horst; Swanepoel, Konrad J.; Weiß, Gunter
92
2001
Triangles of extremal area or perimeter in a finite planar point set. Zbl 0982.52014
Braß, P.; Rote, G.; Swanepoel, K. J.
5
2001
The local Steiner problem in normed planes. Zbl 0971.90075
Swanepoel, Konrad J.
9
2000
Balancing unit vectors. Zbl 0958.52007
Swanepoel, Konrad J.
5
2000
Gaps in convex disc packings with an application to 1-Steiner minimum trees. Zbl 0957.52001
Swanepoel, Konrad J.
2
2000
Sets of unit vectors with small pairwise sums. Zbl 0992.46011
Swanepoel, Konrad J.
1
2000
On the existence of shortest directed networks. Zbl 0960.05053
Swanepoel, Konrad J.
1
2000
Cardinalities of \(k\)-distance sets in Minkowski spaces. Zbl 0939.52007
Swanepoel, K. J.
4
1999
Vertex degrees of Steiner minimal trees in \(\ell_p^d\) and other smooth Minkowski spaces. Zbl 0921.05026
Swanepoel, K. J.
3
1999
Helly-type theorems for hollow axis-aligned boxes. Zbl 0927.52012
Swanepoel, Konrad J.
2
1999
New lower bounds for the Hadwiger numbers of \(\ell_p\) balls for \(p<2\). Zbl 1022.94026
Swanepoel, K. J.
1
1999
Extremal problems in Minkowski space related to minimal networks. Zbl 0874.94055
Swanepoel, K. J.
1
1996
all top 5

Cited by 314 Authors

62 Martini, Horst
24 Swanepoel, Konrad J.
18 Balestro, Vitor
16 Spirova, Margarita Georgieva
15 Wu, Senlin
11 Teixeira, Ralph C.
10 Horváth, Ákos G.
7 Brazil, Marcus N.
7 Lassak, Marek
7 Polyanskiĭ, Aleksandr Andreevich
6 Alonso, Javier
6 Kupavskii, Andrey
6 Lángi, Zsolt
6 Ras, Charl J.
5 Dumitrescu, Adrian
5 Griggs, Jerrold R.
5 Jahn, Thomas
5 Li, Wei-Tian
5 Methuku, Abhishek
5 Pach, János
5 Richter, Christian
5 Thomas, Doreen Anne
4 Bezdek, Károly
4 Dvir, Zeev
4 Lu, Linyuan
4 Naszódi, Márton
4 Saleh, Wedad
4 Tompkins, Casey
3 Cabello Sánchez, Javier
3 Gerbner, Dániel
3 Katona, Gyula O. H.
3 Kiliçman, Adem
3 Kupitz, Yaakov S.
3 Mercourakis, Sophocles K.
3 Merino, Bernardo González
3 Moreno, José-Pedro
3 Mustafaev, Zokhrab
3 Nagy, Dániel T.
3 Nam, Nguyen Mau
3 Papini, Pier Luigi
3 Patkós, Balázs
3 Tóth, Csaba D.
3 Väisälä, Jussi
3 Vassiliadis, Georgios
2 Averkov, Gennadiy
2 Bulankina, V. V.
2 Calinescu, Gruia
2 Chen, Hongbin
2 Craizer, Marcos
2 de Wet, Pieter Oloff
2 Dewar, Sean
2 Fabińska, Ewa
2 Grósz, Dániel
2 He, Chan
2 Huicochea, Mario
2 Ji, Donghai
2 Jiang, Minghui
2 Kania, Tomasz
2 Khan, Muhammad Ali
2 Körner, Mark-Christoph
2 Kurusa, Árpád
2 Lin, Aaron
2 Manske, Jacob
2 Martin, Ryan R.
2 Martinez-Sandoval, Leonardo
2 Morić, Filip
2 Pretorius, Lou M.
2 Sakaki, Makoto
2 Saraf, Shubhangi
2 Schneider, Rolf G.
2 Schöbel, Anita
2 Shahriari, Shahriar
2 Sharir, Micha
2 Shcherba, Anatoly I.
2 Shonoda, Emad N.
2 Tabachnikov, Serge L.
2 Villa, Rafael
2 Weiß, Gunter
2 Wigderson, Avi
2 Zachariasen, Martin
1 Ábrego, Bernardo Manuel
1 Ahmad, Izhar
1 Albers, Peter
1 Alexandrescu, Diana-Olimpia
1 Ali, Shahid
1 Amenta, Nina
1 An, Nguyen Thai
1 Andersen, Patrick John
1 Anzis, Benjamin E.
1 Arambašić, Ljiljana
1 Aronov, Boris
1 Axenovich, Maria A.
1 Balko, Martin
1 Ball, Simeon
1 Banakh, Taras Onufrievich
1 Bannikova, A. G.
1 Barak, Boaz
1 Bárány, Imre
1 Barbagallo, Annamaria
1 Barnett, Zachary
...and 214 more Authors
all top 5

Cited in 92 Serials

19 Beiträge zur Algebra und Geometrie
15 Discrete & Computational Geometry
13 Journal of Combinatorial Theory. Series A
13 Aequationes Mathematicae
11 Journal of Optimization Theory and Applications
11 Order
8 Journal of Mathematical Analysis and Applications
7 Discrete Mathematics
7 Monatshefte für Mathematik
7 Computational Geometry
6 Results in Mathematics
5 Israel Journal of Mathematics
5 Periodica Mathematica Hungarica
5 Journal of Geometry
5 Expositiones Mathematicae
4 Discrete Applied Mathematics
4 Mathematical Notes
4 Rocky Mountain Journal of Mathematics
4 Mathematika
4 Graphs and Combinatorics
4 The Electronic Journal of Combinatorics
4 Journal of Convex Analysis
4 Advances in Geometry
3 Proceedings of the American Mathematical Society
3 European Journal of Combinatorics
3 Acta Mathematica Hungarica
3 Linear Algebra and its Applications
3 Combinatorics, Probability and Computing
3 Journal of Inequalities and Applications
3 Journal of Combinatorial Optimization
2 Bulletin of the Australian Mathematical Society
2 Moscow University Mathematics Bulletin
2 Studia Mathematica
2 Advances in Mathematics
2 Archiv der Mathematik
2 Geometriae Dedicata
2 Networks
2 Pacific Journal of Mathematics
2 Combinatorica
2 Computer Aided Geometric Design
2 Applied Mathematics Letters
2 Discrete Optimization
2 Annals of Functional Analysis
2 Analysis and Mathematical Physics
1 International Journal of Mathematical Education in Science and Technology
1 Reports on Mathematical Physics
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Commentationes Mathematicae Universitatis Carolinae
1 Czechoslovak Mathematical Journal
1 Journal of Combinatorial Theory. Series B
1 Journal of Economic Theory
1 Journal of Functional Analysis
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 International Journal of Computational Geometry & Applications
1 Journal of Global Optimization
1 Proceedings of the National Academy of Sciences of the United States of America
1 Experimental Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Georgian Mathematical Journal
1 Journal of Combinatorial Designs
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Doklady Mathematics
1 Mathematical Inequalities & Applications
1 Integers
1 Foundations of Computational Mathematics
1 4OR
1 Mediterranean Journal of Mathematics
1 Contributions to Discrete Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Functional Analysis and Other Mathematics
1 Optimization Letters
1 Journal of Mathematical Inequalities
1 European Journal of Pure and Applied Mathematics
1 Tbilisi Mathematical Journal
1 São Paulo Journal of Mathematical Sciences
1 Forum of Mathematics, Sigma
1 International Journal of Analysis and Applications
1 EMS Surveys in Mathematical Sciences
1 Journal of Function Spaces
1 Arnold Mathematical Journal
1 European Journal of Mathematics
1 Open Mathematics
1 SIAM Journal on Applied Algebra and Geometry

Citations by Year