Swanepoel, Konrad

Pach, János and Swanepoel, Konrad J. (2015) Double-normal pairs in the plane and on the sphere Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 56 (2). 423-438. ISSN 0138-4821

Pach, János and Swanepoel, Konrad J. (2015) Double-normal pairs in space Mathematika, 61 (1). 259-272. ISSN 0025-5793

Swanepoel, Konrad J. (2014) Equilateral sets and a Schütte theorem for the 4-norm Canadian Mathematical Bulletin, 57 (3). 640-647. ISSN 0008-4395

Swanepoel, Konrad (2011) Midpoint sets contained in the unit sphere of a normed space Studia Scientiarum Mathematicarum Hungarica, 48 (2). 180-192. ISSN 0081-6906

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

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

Swanepoel, Konrad (2009) Simultaneous packing and covering in sequence spaces Discrete and Computational Geometry, 42 (2). 335-340. ISSN 0179-5376

Csikós, Balázs and Kiss, György and Swanepoel, Konrad and Oloff de Wet, P. (2009) Large antipodal families Periodica Mathematica Hungarica, 58 (2). 129-138. ISSN 0031-5303

Swanepoel, Konrad (2009) Unit distances and diameters in Euclidean spaces Discrete and Computational Geometry, 41 (1). 1-27. ISSN 0179-5376

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

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

Swanepoel, Konrad (2008) A new proof of Vázsonyi's conjecture Journal of Combinatorial Theory, Series A, 115 (5). 888-892. ISSN 0097-3165

Solymosi, József and Swanepoel, Konrad (2008) Elementary incidence theorems for complex numbers and quaternions SIAM Journal on Discrete Mathematics, 22 (3). 1145-1148. ISSN 0895-4801

Swanepoel, Konrad (2007) Upper bounds for edge-antipodal and subequilateral polytopes Periodica Mathematica Hungarica, 54 (1). 99-106. ISSN 0031-5303

Swanepoel, Konrad (2007) The local Steiner problem in finite-dimensional normed spaces Discrete and Computational Geometry, 37 (3). 419-442. ISSN 0179-5376

Martini, Horst and Swanepoel, Konrad (2006) Antinorms and Radon curves. Aequationes Mathematicae, 72 (1-2). 110-138. ISSN 0001-9054

Martini, Horst and Swanepoel, Konrad (2006) Low-degree minimal spanning trees in normed spaces Applied Mathematics Letters, 19 (2). 122-125. ISSN 0893-9659

Swanepoel, Konrad and Schurmann, Achill (2006) Three-dimensional antipodal and norm-equilateral sets Pacific Journal of Mathematics, 228 (2). 349-370. ISSN 0030-8730

Elkies, Noam and Pretorius, Lou M. and Swanepoel, Konrad (2006) Sylvester-Gallai theorems for complex numbers and quaternions Discrete and Computational Geometry, 35 (3). 361-373. ISSN 0179-5376

Swanepoel, Konrad (2005) Quantitative illumination of convex bodies and vertex degrees of geometric Steiner minimal trees Mathematika, 52 (1). 47-52. ISSN 0025-5793

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

Swanepoel, Konrad (2004) A problem of Kusner on equilateral sets Archiv Der Mathematik, 83 (2). 164-170. ISSN 0003-889X

Swanepoel, Konrad 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, 273-280. ISBN 9780821834848

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

Martini, Horst and Swanepoel, Konrad (2004) The geometry of Minkowski spaces - a survey. Part II Expositiones Mathematicae, 22 (2). 93-144. ISSN 0723-0869

Martini, Horst and Swanepoel, Konrad (2004) Equiframed curves - a generalization of Radon curves Monatshefte fur Mathematik, 141 (4). 301-314. ISSN 0026-9255

Martini, Horst and Swanepoel, Konrad and Weiss, G. (2003) Some location problems in normed linear spaces. In: Dresden Symposium Geometrie: konstruktiv & kinematisch, 27 February - 1 March 2003, Dresden, Germany

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

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

Swanepoel, Konrad (2002) Helly-type theorems for polygonal curves Discrete Mathematics, 254 (1-3). 527-537. ISSN 0012-365X

Martini, Horst and Swanepoel, Konrad and Weiss, Gunter (2001) The geometry of Minkowski spaces - a survey. Part I Expositiones Mathematicae, 19 (2). 97-142. ISSN 0723-0869

Swanepoel, Konrad (2000) Gaps in convex disc packings with an application to 1-Steiner minimum trees Monatshefte fur Mathematik, 129 (3). 217-226. ISSN 0026-9255

Swanepoel, Konrad (2000) Sets of unit vectors with small pairwise sums Quaestiones Mathematicae, 23 (3). 383-288. ISSN 1607-3606

Swanepoel, Konrad (2000) Balancing unit vectors Journal of Combinatorial Theory, Series A, 89 (1). 105-112. ISSN 0097-3165

Swanepoel, Konrad (2000) The local Steiner problem in normed planes Networks, 36 (2). 104-113. ISSN 1097-0037

Swanepoel, Konrad (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. 116-119. ISSN 0254-3486

Swanepoel, Konrad (1999) New lower bounds for the Hadwiger numbers of ℓp balls for p Applied Mathematics Letters, 12 (5). 57-60. ISSN 0893-9659

Swanepoel, Konrad (1999) Cardinalities of k-distance sets in Minkowski spaces Discrete Mathematics, 197/19. 759-767. ISSN 0012-365X

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