Items where Author is "Swanepoel, Konrad"

Article

Lavollée, Jérémy and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2024) A tight bound for the number of edges of matchstick graphs. Discrete and Computational Geometry, 72 (4). 1530 - 1544. ISSN 0179-5376

Lavollée, Jérémy and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2023) The number of small-degree vertices in matchstick graphs. Australasian Journal of Combinatorics, 85 (1). 92 - 99. ISSN 1034-4942

Lavollée, Jérémy and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2022) Bounding the number of edges of matchstick graphs. SIAM Journal on Discrete Mathematics, 36 (1). 777 - 785. ISSN 0895-4801

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2021) Outer linear measure of connected sets via Steiner trees. Real Analysis Exchange, 46 (1). 207 - 232. ISSN 0147-1937

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2021) Triangles of nearly equal area. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 62 (1). 219 - 227. ISSN 0138-4821

Lin, Aaron and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2021) Ordinary hyperspheres and spherical curves. Advances in Geometry, 21 (1). 15 - 22. ISSN 1615-715X

Naszódi, Márton, Prokaj, Vilmos and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2020) Angular measures and Birkhoff orthogonality in Minkowski planes. Aequationes Mathematicae, 94 (5). 969 - 977. ISSN 0001-9054

Maxwell, Alastair and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2020) Shortest directed networks in the plane. Graphs and Combinatorics, 36 (5). 1457 - 1475. ISSN 0911-0119

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2020) Favourite distances in 3-space. Electronic Journal of Combinatorics, 27 (2). pp. 1-11. ISSN 1077-8926

Balko, Martin, Por, Attila, Scheucher, Manfred, Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Valtr, Pavel (2020) Almost-equidistant sets. Graphs and Combinatorics, 36 (3). 729 - 754. ISSN 0911-0119

Lin, Aaron and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2020) On sets defining few ordinary hyperplanes. Discrete Analysis. ISSN 2397-3129

Frankl, Nóra, Kupavskii, Andrey and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2020) Embedding graphs in Euclidean space. Journal of Combinatorial Theory, Series A, 171. ISSN 0097-3165

Lin, A and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2019) Ordinary planes, coplanar quadruples, and space quartics. Journal of the London Mathematical Society, 100 (3). pp. 937-956. ISSN 0024-6107

Kupavskii, Andrey, Mustafa, Nabil H. and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2019) Bounding the size of an almost-equidistant set in Euclidean space. Combinatorics, Probability and Computing, 28 (2). pp. 280-286. ISSN 0963-5483

Naszódi, Márton and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2018) Arrangements of homothets of a convex body II. Contributions to Discrete Mathematics, 13 (2). 116 - 123. ISSN 1715-0868

Lin, Aaron, Makhul, Mehdi, Mojarrad, Hossein Nassajian, Schicho, Josef, Swanepoel, Konrad ORCID: 0000-0002-1668-887X and de Zeeuw, Frank (2018) On sets defining few ordinary circles. Discrete and Computational Geometry, 59 (1). pp. 59-87. ISSN 0179-5376

Naszódi, Márton, Pach, János and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2017) Arrangements of homothets of a convex body. Mathematika, 63 (2). 696 - 710. ISSN 0025-5793

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2016) Sets of unit vectors with small subset sums. Transactions of the American Mathematical Society, 368 (10). 7153 - 7188. ISSN 0002-9947

Brazil, Marcus, Ras, Charl J., Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Thomas, Doreen A. (2015) Generalised k-Steiner tree problems in normed planes. Algorithmica, 71 (1). pp. 66-86. ISSN 1432-0541

Volz, Marcus G., Brazil, Marcus, Ras, Charl J., Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Thomas, Doreen A. (2012) The Gilbert arborescence problem. Networks, 61 (3). pp. 238-247. ISSN 0028-3045

Martini, Horst, Spirova, Margarita and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2011) Geometry where direction matters—or does it? Mathematical Intelligencer, 33 (3). pp. 115-125. ISSN 0343-6993

Pretorius, Lou M. and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2011) Embedding a Latin square with transversal into a projective space. Journal of Combinatorial Theory, Series A, 118 (5). pp. 1674-1683. ISSN 0097-3165

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2011) Midpoint sets contained in the unit sphere of a normed space. Studia Scientiarum Mathematicarum Hungarica, 48 (2). pp. 180-192. ISSN 0081-6906

Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Valtr, Pavel (2010) Large convexly independent subsets of Minkowski sums. Electronic Journal of Combinatorics, 17 (1). ISSN 1077-8926

Swanepoel, Konrad ORCID: 0000-0002-1668-887X, Martini, Horst and Oloff de Wet, P. (2009) Absorbing angles, Steiner minimal trees and antipodality. Journal of Optimization Theory and Applications, 143 (1). pp. 149-157. ISSN 0022-3239

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2009) Simultaneous packing and covering in sequence spaces. Discrete and Computational Geometry, 42 (2). pp. 335-340. ISSN 0179-5376

Csikós, Balázs, Kiss, György, Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Oloff de Wet, P. (2009) Large antipodal families. Periodica Mathematica Hungarica, 58 (2). pp. 129-138. ISSN 0031-5303

Pretorius, Lou M. and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2009) The Sylvester-Gallai theorem, colourings and algebra. Discrete Mathematics, 309 (2). pp. 385-399. ISSN 0012-365X

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2009) Unit distances and diameters in Euclidean spaces. Discrete and Computational Geometry, 41 (1). pp. 1-27. ISSN 0179-5376

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2009) Triangle-free minimum distance graphs in the plane. Geombinatorics Quarterly, 19 (1). pp. 28-30. ISSN 1065-7371

Solymosi, József and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2008) Elementary incidence theorems for complex numbers and quaternions. SIAM Journal on Discrete Mathematics, 22 (3). pp. 1145-1148. ISSN 0895-4801

Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Villa, Rafael (2008) A lower bound for the equilateral number of normed spaces. Proceedings of the Mathematical Society, 136 (1). pp. 127-131. ISSN 0002-9939

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2008) A new proof of Vázsonyi's conjecture. Journal of Combinatorial Theory, Series A, 115 (5). pp. 888-892. ISSN 0097-3165

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2007) Upper bounds for edge-antipodal and subequilateral polytopes. Periodica Mathematica Hungarica, 54 (1). pp. 99-106. ISSN 0031-5303

Pretorius, Lou M. and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2007) A generalised Sylvester-Gallai theorem. Die Suid-Afrikaanse Tydskrif Vir Natuurwetenskap En Tegnologie, 26 (1). pp. 8-13. ISSN 0254-3486

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2007) The local Steiner problem in finite-dimensional normed spaces. Discrete and Computational Geometry, 37 (3). pp. 419-442. ISSN 0179-5376

Martini, Horst and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2006) Antinorms and Radon curves. Aequationes Mathematicae, 72 (1-2). pp. 110-138. ISSN 0001-9054

Pretorius, Lou M. and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2006) Blockings sets in small finite linear spaces. Ars Combinatoria, 80. pp. 275-315. ISSN 0381-7032

Elkies, Noam, Pretorius, Lou M. and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2006) Sylvester-Gallai theorems for complex numbers and quaternions. Discrete and Computational Geometry, 35 (3). pp. 361-373. ISSN 0179-5376

Martini, Horst and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2006) Low-degree minimal spanning trees in normed spaces. Applied Mathematics Letters, 19 (2). pp. 122-125. ISSN 0893-9659

Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Schurmann, Achill (2006) Three-dimensional antipodal and norm-equilateral sets. Pacific Journal of Mathematics, 228 (2). pp. 349-370. ISSN 0030-8730

De Bonis, Annalisa, Katona, Gyula O. H. and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2005) Largest family without A union B contained in C intersect D. Journal of Combinatorial Theory, Series A, 111 (2). pp. 331-336. ISSN 0097-3165

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2005) Quantitative illumination of convex bodies and vertex degrees of geometric Steiner minimal trees. Mathematika, 52 (1). pp. 47-52. ISSN 0025-5793

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2004) A problem of Kusner on equilateral sets. Archiv Der Mathematik, 83 (2). pp. 164-170. ISSN 0003-889X

Martini, Horst and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2004) Equiframed curves - a generalization of Radon curves. Monatshefte fur Mathematik, 141 (4). pp. 301-314. ISSN 0026-9255

Pretorius, Lou M. and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2004) An algorithmic proof of the Motzkin-Rabin theorem. American Mathematical Monthly, 111 (3). pp. 245-251. ISSN 0002-9890

Martini, Horst and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2004) Non-planar simplices are not reduced. Publicationes Mathematicae Debrecen, 64 (1-2). pp. 101-106. ISSN 0033-3883

Martini, Horst and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2004) The geometry of Minkowski spaces - a survey. Part II. Expositiones Mathematicae, 22 (2). pp. 93-144. ISSN 0723-0869

Martini, Horst and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2003) Generalized convexity notions and combinatorial geometry. Congressus Numerantium, 164. pp. 65-93. ISSN 0384-9864

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2003) Helly-type theorems for homothets of planar convex curves. Proceedings of the Mathematical Society, 131 (3). pp. 921-932. ISSN 0002-9939

Martini, Horst, Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Weiss, Gunter (2002) The Fermat-Torricelli problem in normed planes and spaces. Journal of Optimization Theory and Applications, 115 (2). pp. 283-314. ISSN 0022-3239

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2002) Independence numbers of planar contact graphs. Discrete and Computational Geometry, 28 (4). pp. 649-670. ISSN 0179-5376

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2002) Helly-type theorems for polygonal curves. Discrete Mathematics, 254 (1-3). pp. 527-537. ISSN 0012-365X

Brass, Peter, Rote, Gunter and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2001) Triangles of extremal area or perimeter in a finite planar point set. Discrete and Computational Geometry, 26 (1). pp. 51-58. ISSN 0179-5376

Martini, Horst, Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Weiss, Gunter (2001) The geometry of Minkowski spaces - a survey. Part I. Expositiones Mathematicae, 19 (2). pp. 97-142. ISSN 0723-0869

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2000) Sets of unit vectors with small pairwise sums. Quaestiones Mathematicae, 23 (3). pp. 383-288. ISSN 1607-3606

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2000) The local Steiner problem in normed planes. Networks, 36 (2). pp. 104-113. ISSN 1097-0037

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2000) Gaps in convex disc packings with an application to 1-Steiner minimum trees. Monatshefte fur Mathematik, 129 (3). pp. 217-226. ISSN 0026-9255

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2000) Balancing unit vectors. Journal of Combinatorial Theory, Series A, 89 (1). pp. 105-112. ISSN 0097-3165

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2000) On the existence of shortest directed networks. Journal of Combinatorial Mathematics and Combinatorial Computing, 33. pp. 97-102. ISSN 0835-3026

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (1999) New lower bounds for the Hadwiger numbers of ℓp balls for p < 2. Applied Mathematics Letters, 12 (5). pp. 57-60. ISSN 0893-9659

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (1999) Vertex degrees of Steiner minimal trees in ℓ p d and other smooth Minkowski spaces. Discrete and Computational Geometry, 21 (3). pp. 437-447. ISSN 0179-5376

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (1999) Partitions of sets in metric and normed spaces induced by concentric spheres and parallel hyperplanes. Die Suid-Afrikaanse Tydskrif Vir Natuurwetenskap En Tegnologie, 18. pp. 116-119. ISSN 0254-3486

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (1999) Cardinalities of k-distance sets in Minkowski spaces. Discrete Mathematics, 197/19. pp. 759-767. ISSN 0012-365X

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (1999) Helly-type theorems for hollow axis-aligned boxes. Proceedings of the Mathematical Society, 127 (7). pp. 2155-2162. ISSN 0002-9939

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (1996) Extremal problems in Minkowski space related to minimal networks. Proceedings of the Mathematical Society, 124 (8). pp. 2513-2518. ISSN 0002-9939

Book Section

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2018) Combinatorial distance geometry in normed spaces. In: Ambrus, Gergely, Barany, Imre, Boroczky, Karoly J., Fejes Toth, Gabor and Pach, János, (eds.) New Trends in Intuitive Geometry. Bolyai Society Mathematical Studies. Springer Berlin / Heidelberg, Berlin, Germany, 407 - 458. ISBN 9783662574126

Naszódi, Márton, Pach, János and Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2018) Sphere-of-influence graphs in normed spaces. In: Discrete Geometry and Symmetry: In Honor of Károly Bezdek’s and Egon Schulte’s 60th Birthdays. Springer International (Firm), Cham, Switzerland.

Volz, M. G., Brazil, M., Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Thomas, D. A. (2009) Designing optimal flow networks. In: Ao, S. I., Gelman, L., Hukins, David W. L., Korsunsky, A. M. and Hunter, Andrew, (eds.) Proceedings of the World Congress on Engineering 2009. Newswood Ltd., London, UK, pp. 1235-1240. ISBN 9789881821010

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2004) Equilateral sets in finite-dimensional normed spaces. In: Girela, Daniel, López Acedo, Gernaro and Villa Caro, Rafael, (eds.) Seminar of Mathematical Analysis. Secretariado de Publicationes, Universidad de Sevilla, Seville, Spain, pp. 195-237. ISBN 9788447208579

Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Valtr, P. (2004) The unit distance problem on spheres. In: Pach, János, (ed.) Towards a Theory of Geometric Graphs. Contemporary mathematics (342). American Mathematical Society, Budapest, Hungary, pp. 273-280. ISBN 9780821834848

Conference or Workshop Item

Martini, Horst, Swanepoel, Konrad ORCID: 0000-0002-1668-887X and Weiss, G. (2003) Some location problems in normed linear spaces. In: Dresden Symposium Geometrie: konstruktiv & kinematisch, 2003-02-27 - 2003-03-01, Dresden, Germany, DEU.

Online resource

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2014) Book review: Beautiful geometry by Eli Maor and Eugen Jost. LSE Review of Books (03 Mar 2014). Website.