Items where Author is "Swanepoel, Konrad"

Number of items: 75.
Article
  • Equilateral dimension of the planar Banach-Mazur compactum. (2025) Kobos, Tomasz; Swanepoel, Konrad picture_as_pdf
  • A tight bound for the number of edges of matchstick graphs. (2024) Lavollée, Jérémy; Swanepoel, Konrad picture_as_pdf
  • Regular matchstick graphs on the sphere. (2024) Swanepoel, Konrad picture_as_pdf
  • The number of small-degree vertices in matchstick graphs. (2023) Lavollée, Jérémy; Swanepoel, Konrad picture_as_pdf
  • Outer linear measure of connected sets via Steiner trees. (2021) Swanepoel, Konrad picture_as_pdf
  • Triangles of nearly equal area. (2021) Swanepoel, Konrad picture_as_pdf
  • Ordinary hyperspheres and spherical curves. (2021) Lin, Aaron; Swanepoel, Konrad picture_as_pdf
  • Angular measures and Birkhoff orthogonality in Minkowski planes. (2020) Naszódi, Márton; Prokaj, Vilmos; Swanepoel, Konrad picture_as_pdf
  • Shortest directed networks in the plane. (2020) Maxwell, Alastair; Swanepoel, Konrad picture_as_pdf
  • Favourite distances in 3-space. (2020) Swanepoel, Konrad picture_as_pdf
  • Almost-equidistant sets. (2020) Balko, Martin; Por, Attila; Scheucher, Manfred; Swanepoel, Konrad; Valtr, Pavel picture_as_pdf
  • On sets defining few ordinary hyperplanes. (2020) Lin, Aaron; Swanepoel, Konrad picture_as_pdf
  • Embedding graphs in Euclidean space. (2020) Frankl, Nóra; Kupavskii, Andrey; Swanepoel, Konrad picture_as_pdf
  • Ordinary planes, coplanar quadruples, and space quartics. (2019) Lin, A; Swanepoel, Konrad picture_as_pdf
  • Bounding the size of an almost-equidistant set in Euclidean space. (2019) Kupavskii, Andrey; Mustafa, Nabil H.; Swanepoel, Konrad
  • Arrangements of homothets of a convex body II. (2018) Naszódi, Márton; Swanepoel, Konrad
  • On sets defining few ordinary circles. (2018) Lin, Aaron; Makhul, Mehdi; Mojarrad, Hossein Nassajian; Schicho, Josef; Swanepoel, Konrad; de Zeeuw, Frank
  • Arrangements of homothets of a convex body. (2017) Naszódi, Márton; Pach, János; Swanepoel, Konrad
  • Sets of unit vectors with small subset sums. (2016) Swanepoel, Konrad
  • Generalised k-Steiner tree problems in normed planes. (2015) Brazil, Marcus; Ras, Charl J.; Swanepoel, Konrad; Thomas, Doreen A.
  • The Gilbert arborescence problem. (2012) Volz, Marcus G.; Brazil, Marcus; Ras, Charl J.; Swanepoel, Konrad; Thomas, Doreen A.
  • Geometry where direction matters—or does it? (2011) Martini, Horst; Spirova, Margarita; Swanepoel, Konrad
  • Embedding a Latin square with transversal into a projective space. (2011) Pretorius, Lou M.; Swanepoel, Konrad
  • Midpoint sets contained in the unit sphere of a normed space. (2011) Swanepoel, Konrad
  • Large convexly independent subsets of Minkowski sums. (2010) Swanepoel, Konrad; Valtr, Pavel
  • Absorbing angles, Steiner minimal trees and antipodality. (2009) Swanepoel, Konrad; Martini, Horst; Oloff de Wet, P.
  • Simultaneous packing and covering in sequence spaces. (2009) Swanepoel, Konrad
  • Large antipodal families. (2009) Csikós, Balázs; Kiss, György; Swanepoel, Konrad; Oloff de Wet, P.
  • The Sylvester-Gallai theorem, colourings and algebra. (2009) Pretorius, Lou M.; Swanepoel, Konrad
  • Unit distances and diameters in Euclidean spaces. (2009) Swanepoel, Konrad
  • Triangle-free minimum distance graphs in the plane. (2009) Swanepoel, Konrad
  • Elementary incidence theorems for complex numbers and quaternions. (2008) Solymosi, József; Swanepoel, Konrad
  • A lower bound for the equilateral number of normed spaces. (2008) Swanepoel, Konrad; Villa, Rafael
  • A new proof of Vázsonyi's conjecture. (2008) Swanepoel, Konrad
  • Upper bounds for edge-antipodal and subequilateral polytopes. (2007) Swanepoel, Konrad
  • A generalised Sylvester-Gallai theorem. (2007) Pretorius, Lou M.; Swanepoel, Konrad
  • The local Steiner problem in finite-dimensional normed spaces. (2007) Swanepoel, Konrad
  • Antinorms and Radon curves. (2006) Martini, Horst; Swanepoel, Konrad
  • Blockings sets in small finite linear spaces. (2006) Pretorius, Lou M.; Swanepoel, Konrad
  • Sylvester-Gallai theorems for complex numbers and quaternions. (2006) Elkies, Noam; Pretorius, Lou M.; Swanepoel, Konrad
  • Low-degree minimal spanning trees in normed spaces. (2006) Martini, Horst; Swanepoel, Konrad
  • Three-dimensional antipodal and norm-equilateral sets. (2006) Swanepoel, Konrad; Schurmann, Achill
  • Quantitative illumination of convex bodies and vertex degrees of geometric Steiner minimal trees. (2005) Swanepoel, Konrad
  • A problem of Kusner on equilateral sets. (2004) Swanepoel, Konrad
  • Equiframed curves - a generalization of Radon curves. (2004) Martini, Horst; Swanepoel, Konrad
  • An algorithmic proof of the Motzkin-Rabin theorem. (2004) Pretorius, Lou M.; Swanepoel, Konrad
  • Non-planar simplices are not reduced. (2004) Martini, Horst; Swanepoel, Konrad
  • Generalized convexity notions and combinatorial geometry. (2003) Martini, Horst; Swanepoel, Konrad
  • Helly-type theorems for homothets of planar convex curves. (2003) Swanepoel, Konrad
  • The Fermat-Torricelli problem in normed planes and spaces. (2002) Martini, Horst; Swanepoel, Konrad; Weiss, Gunter
  • Independence numbers of planar contact graphs. (2002) Swanepoel, Konrad
  • Helly-type theorems for polygonal curves. (2002) Swanepoel, Konrad
  • Triangles of extremal area or perimeter in a finite planar point set. (2001) Brass, Peter; Rote, Gunter; Swanepoel, Konrad
  • The geometry of Minkowski spaces - a survey. Part I. (2001) Martini, Horst; Swanepoel, Konrad; Weiss, Gunter
  • Sets of unit vectors with small pairwise sums. (2000) Swanepoel, Konrad
  • The local Steiner problem in normed planes. (2000) Swanepoel, Konrad
  • Gaps in convex disc packings with an application to 1-Steiner minimum trees. (2000) Swanepoel, Konrad
  • Balancing unit vectors. (2000) Swanepoel, Konrad
  • On the existence of shortest directed networks. (2000) Swanepoel, Konrad
  • New lower bounds for the Hadwiger numbers of ℓp balls for p < 2. (1999) Swanepoel, Konrad
  • Vertex degrees of Steiner minimal trees in ℓ p d and other smooth Minkowski spaces. (1999) Swanepoel, Konrad
  • Partitions of sets in metric and normed spaces induced by concentric spheres and parallel hyperplanes. (1999) Swanepoel, Konrad
  • Cardinalities of k-distance sets in Minkowski spaces. (1999) Swanepoel, Konrad
  • Helly-type theorems for hollow axis-aligned boxes. (1999) Swanepoel, Konrad
  • Extremal problems in Minkowski space related to minimal networks. (1996) Swanepoel, Konrad
  • Bounding the number of edges of matchstick graphs. Lavollée, Jérémy; Swanepoel, Konrad picture_as_pdf
  • Largest family without A union B contained in C intersect D. De Bonis, Annalisa; Katona, Gyula O. H.; Swanepoel, Konrad
  • The geometry of Minkowski spaces - a survey. Part II. Martini, Horst; Swanepoel, Konrad
    • Chapter
  • Combinatorial distance geometry in normed spaces. (2018) Swanepoel, Konrad picture_as_pdf
  • Sphere-of-influence graphs in normed spaces. (2018) Naszódi, Márton; Pach, János; Swanepoel, Konrad picture_as_pdf
  • Designing optimal flow networks. (2009) Volz, M. G.; Brazil, M.; Swanepoel, Konrad; Thomas, D. A.
  • Equilateral sets in finite-dimensional normed spaces. (2004) Swanepoel, Konrad
  • The unit distance problem on spheres. (2004) Swanepoel, Konrad; Valtr, P.
    • Conference or Workshop Item
  • Some location problems in normed linear spaces. Martini, Horst; Swanepoel, Konrad; Weiss, G.
    • Online resource
  • Book review: Beautiful geometry by Eli Maor and Eugen Jost. (2014) Swanepoel, Konrad